Write the equation of the line that passes through the points (7, –9)
and (1,-4). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.

Answer:

y=[tex]\frac{-5}{6}[/tex]x+14[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The equation of a line is y=mx+b

to find the equation of the line you need its gradient(m) and its y intercept(b)

the gradient is

[tex]\frac{y1-y2}{x1-x2}[/tex]  

y1= the y value of the first point which is -9

y2=the y value of the second point which is -4

x1=the x value of the first point which is 7

x2=the x value of the first point which is 1

then input the values into the equation

[tex]\frac{(-9)-(-4)}{(7)-(1)}[/tex]

=[tex]\frac{-9+4}{6}[/tex]

=[tex]\frac{-5}{6}[/tex]

to find the y just times the x by the gradient and then minus it from the y

-9-(7 x [tex]\frac{-5}{6}[/tex])=14[tex]\frac{5}{6}[/tex]

making the equation y=[tex]\frac{-5}{6}[/tex]x+14[tex]\frac{5}{6}[/tex]

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