Question

A line passes through the point (4, -3) and has a slope of -5/2

Answer 1

The equation of a line in slope-intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=-5/2

point (4,-3)

substitute in the expression above

-3=-(5/2)(4)+b

solve for b

-3=-10+b

b=10-3

b=7

therefore

the equation of the line is

y=-(5/2)x+7