A line has slope -3/4 and passes through the point (8,3) write an equation of the line

Answer 1

Remember the "slope-offset" form for the equation of a line: y = mx + b.

First, enter the given slope to get: y = -3x / 4 + b

Next, enter the given point (8,3) means x=8 and y=3

So....3 = -3(8) / 4 + b

rearrange and simplify:

b = 3 + 3(8) / 4 = 3 + 6 = 9

SO: The equation is y = -3x / 4 + 9

TEST by plugging in the given point (8,3)