Describe and correct the error in writing an equation of the line. (Please no links or false answers)

the mistake they made was the wrong offset from point (0,0) into the y direction. the incline of the line was correct.

the correct equation is y = 1/2×x - 2, because this line contains both points (4,0) and (0,-2)

Step-by-step explanation:

we are looking for a line equation

y = a×x + b

the 2 points give us 2 equations to solve for the 2 variables a and b :

0 = a×4 + b

-2 = a×0 + b

=> b = -2

=> -b = a×4, => a = -b/4 = 2/4 = 1/2

so, the right equation for the line going through both points is

y = 1/2×x - 2

the difference to the original equation is simply the offset from the x- axis in the y direction.

the original equation would be parallel to the correct equation but hit the y-axis at (0,4) instead of (0,-2), and it would hit the x-axis at (-8,0) instead of (4,0)

529 and 531

step-by-step explanation: