Question

Write the slope intercept equation of the function f whose graph satisifies the given conditions. The graph of f passes through (-8,6) and is perpendicular to the line that has an x-intercept of 1 and a y-intercept of -2.​

Answer 1

• Let's find slope first.

• (1,-2)
• (-8,6)

$\\ \sf\longmapsto m=\dfrac{6+2}{-8-1}$

$\\ \sf\longmapsto m=\dfrac{8}{-9}$

Slope intercept form

$\\ \sf\longmapsto y=mx+b$

$\\ \sf\longmapsto y=-\dfrac{8}{9}x-2$

Answer 2

m = y2-y1 / x2-x1

m = 6-(-2)/-8-1

m = 8/-9

m = -8/9

y = mx + b

y = -8/9x - 2