Question

A student was trying to use the points (1,-19) and (-2,-7) to write an equation of a line in slope intercept form. Find and explain the error in the work below

M=-7-(-19)/-2-1=12/-3=-4
Y=mx+b
1=-4(-19)+b
1=76+b
-76 -76
-75 =b
Equation : y=-4x-75

Answer 1

[AI-generated answer — Bot GPT 3.5]

The error in the work is when they substitute the values into the equation. They incorrectly multiplied -4 with -19 and got 76 instead of -76. Therefore, the correct equation should be y = -4x - (-76), which simplifies to y = -4x +76.