Write the following in slope intercept form: y – 2 = -2/5 ( x -5)

Answer 1

slope intercept form is y = mx + b

for equation y - 2 = -²/₅ (x - 5) we need to simplify/rearrange

so y - 2 = -²/₅ x + -²/₅ (-5) = -²/₅ x + 2

=> y = -²/₅ x + 4

This line has gradient of -²/₅ (goes down 2 units, and across 5 units) and a y intercept of 4 so passes through point (0,4)

Answer 2

slope intercept form is y = mx + b

we start with y - 2 = -2/5(x-5)

we distribute the terms on the right side

y - 2 = -2/5x + 2

we need y alone on the left side, so we add 2 to both sides

y - 2 + 2 = -2/5x + 2 + 2

y = -2/5x + 4