Is this correct, you don’t have to look at my work just check to see if it’s correct please and thank you

Answer:

[tex] y = 4x + 32 [/tex].

Step-by-step explanation:

Here's a solution to the problem.

Given:

Point = (-5, 12)

Slope (m) = 4

Required:

Equation of the line

SOLUTION:

Recall, the equation for slope-intercept form is [tex] y = mx + b [/tex].

We are given slope (m) as 4. We need to find the value of b to derive an equation of the line.

Simply substitute x = -5, y = 12 and m = 4 into [tex] y = mx + b [/tex], and solve for b.

[tex] 12 = 4(-5) + b [/tex]

[tex] 12 = -20 + b [/tex]

Add 20 to both sides

[tex] 12 + 20 = b [/tex]

[tex] 32 = b [/tex]

[tex] b = 32 [/tex]

Next, substitute m = 4 and b = 32 into [tex] y = mx + b [/tex].

[tex] y = 4x + 32 [/tex].

The line of the equation that has a slope of 4, and passes through (-5, 12) is [tex] y = 4x + 32 [/tex].

Obviously, your calculations are wrong. The above is the right way to solve the problem given.

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