Write the equation of the line in fully simplified slope-intercept form.

Answer:

[tex]y = -\frac{1}{6}x +2[/tex]

Step-by-step explanation:

To write an equation into slope-intercept form, or y = mx + b format, we need to find the y-intercept of the line and its slope and substitute values for m and b.

1) First, find the y-intercept. The y-intercept is the point at which the line intersects the y-axis. Reading the graph, we can see that the line passes the y-axis at the point (0,2), thus that is the y-intercept.

2) Next, find the slope. Pick out two points on the graph to use for the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. I chose to work with (0,2) and (6,1). Now, substitute the two points' x and y values into the formula appropriately and solve:

[tex]\frac{(1)-(2)}{(6)-(0)} \\= \frac{1-2}{6-0}\\= \frac{-1}{6}[/tex]

Thus, [tex]-\frac{1}{6}[/tex]  is the slope.

3) Now, substitute the calculated values into the y = mx + b format. The b represents y-value of the y-intercept. The y-intercept is (0,2), thus substitute 2 for b. The coefficient of the x term, or m, represents the slope, thus substitute [tex]-\frac{1}{6}[/tex] for m. This will give the following equation of the line in slope-intercept format:

[tex]y = -\frac{1}{6}x +2[/tex]

Find the slope of the line through each pair of points.

(17, −13), (17, 8)

A store has a 25% off sale on coats. With this discount, the price of one coat is$ 34.50. What is the original price of the coat?

What is the length of the line segment PQ on the coordinate grid?

A four-quadrant coordinate grid from negative 50 to positive 50 in increments of 10 is drawn. Point P is plotted on the ordered pair negative 20, 30. Point Q is plotted on the ordered pair 30, 30. The points are connected by a line.

10 units
20 units
30 units
50 units

Consider the information about the number of athletes that select various after-practice drinks at a school one day.

35
athletes select water.
21
athletes select lemonade.
14
athletes select some other drink.
If there are a total of
800
athletes in the school, what is the best approximation for how many athletes in the school select water after practice?

Jack has sold 6 of the 90 cards he made. He sells the same number of cards each of the next 12 days. Write an inequality to represent the number of cards, c, Jack can sell each day and still have some left over.

Please answer the math question best of ur abilities

Ive been trying so hard to figure this out someone please help!!!! Find the precent of markup if the cost to the store is $250 and the store is selling the TV for $312.50

HELP ASAP!!! PLEASE :)

i need help......................

Alex is decorating a circular cake. She wants to place a triangle with the longest possible side within the circle. The radius of the circle is 4.5 inches. What is the longest side of the triangle measure?

Which equation describes the statement shown?

The output is one more than twice the input.

Group of answer choices

y = x + 2

y = 2x + 1

y = 2x + 3

y = 2x - 1

Identify the slope and y-intercept of the graph of the equation.

y = 4/5x + 1


A. slope: 4/5 ; y-intercept: –1


B. slope:5/4 ; y-intercept: –1


C. slope: 5/4; y-intercept: 1


D. slope: 4/5; y-intercept: 1

Hello!!! Can you please help me? Ill give brainliest?

justify the property that it illustrates

if the measure of angle g is 35 and the measure of angle s is 35, then the measure angle g is congruent to measure angle s.

A restaurant charges a mandatory 18% tip for parties containing more than 6 people. A party of 10 people was charged $160 for their meal. How much was the tip charge?

pls answer quick asdasdasdsad

On a coordinate plane, a line goes through points (0, 0) and (5, 8.5). A triangle is formed with the line and the y-axis.
Use these similar triangles on the coordinate plane to determine the equation of a straight line with a slope of 5/3 that passes through the origin.
y = five-thirds x
y = three-fifths x
y = 3x + 5
y = 5x + 3

Find the volume of the sphere with a radius, r, of 3/2 feet and π ≈ 3.14.

The volume formula for a sphere is:

V = 4/3 πr3

Enter you answer in the box provided, rounded to the nearest hundredth.
Thanks for your assistance ( :

can you please help me please ​

Hello! If someone could help me it be greatly appreciated! Ill give brainliest!

SMART PPL PLEASE HELP!!! (explain your reasoning for bainliest)

AHH PLEASE HELP I HAVE 7 MINUTES TO FINISH THIS TEST also please add a explanation because i’m kinda confused

Subtract. Write your answer in simplest form.

13/15 - 2/5

and i put 7/15 is this correct

Liz plays the pianao for 2 hours a day, 5 days a week. How many minutes is that?!?!?

1. Cicily read of a book one day and read of the book the next day.

How much of the book did Cicily read in all?
A. 3/8
B. 10/15
C. 13/15
D. 2/15

2. Larson had yards of ribbon. He used yards of the ribbon.

How much ribbon does Larson have left?
A. 7/12 yard
B. 1 7/12 yards
C. 2 7/12 yards
D. 3 6/10 yards

please explain how to solve this problem using mathematical language and vocabulary.


context: i need to make a 'tiktok' explaining how to solve this problem and it will have to be 1-3 minutes long, but i'll do that part. algebra is so hard for me and i have no idea how to solve these types of problems, so please consider helping me. (this is due march 1st)


also: please dont respond with some random answer that is no way related to the problem, it doesn't help me at all.

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP I NEED THIS NOW

Write a series of transformations that includes a translation followed by a reflection to map
M(4, −3) onto M’(2, 5).

Help pls pls pls pls pls pls pls pls pls

pls help it is due today

Solve for x
find the measure of angle y