Q:

Write an equation for the line that has a slope -8/9 and goes through the point (-7, 7)

Accepted Solution

A:
Answer:y = (-8/9)x + 0.77777Step-by-step explanation:We already know the slope, so the only thing left to find is the y-intercept.To find the y-intercept, we can plug in the slope and point to the slope-intercept form equation (y = mx+b, where m=slope and b=y-int.)y   =     m *  x    + b(7) = (-8/9)*(-7)   + bNow, just solve for b!(7) = (-8/9)*(-7)   + b7 = 56/9 + b7 - (56/9) = bb = 0.777777 (repeating decimal, usually signified by a little line above the 7)so now we just plug in the slope and y-intercept we found into y = mx + b.y = mx + by = (-8/9)x + 0.77777