How do you write the equation in slope intercept form given slope -4/5, passing through (5,-5)?

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Answer 1 · 2018-04-22T11:51:19

the slope intercept equation is y = mx + b
Substitute the values of (x,y) from the point to solve for b.

The slope is m in the y=mx +b form ( Think m mountain ski slope)
The y intercept is b ( think beginning)

Substituting the values ( 5,-5) into the equation gives.

# -5 = 4/5 xx 5 + b# multiplying gives

# -5 = 4 +b# subtracting 4 from both sides gives

# -5 -4 = 4-4 + b# which equals

# -9 = b # Now put the b value into the equation

# y = 4/5x -9 #