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Write the equation of the line, in y = mx + b form, that passes through the points (-2, -15) and (5, 13). Show how you arrived at the values of m and b.

Respuesta :

Answer:

y = 4x - 7

Step-by-step explanation:

Finding the slope:

[tex]\frac{13+15}{5+2}=\frac{28}{7}=\boxed{4}[/tex]

The slope is 4.

Finding the y-intercept:

[tex]y=4x+b\\\\13=4(5)+b\\\\13=20+b\\\\13-20=20-20+b\\\\\boxed{-7=b}[/tex]

The equation is [tex]y=4x-7[/tex].

Hope this helps.

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