a line with a slope

Question

a line passes through the point (4,3) and has a slope of 5. Write an equation for this line

Answer 1

Hi Fallon;

Point-slope formula is...

y-y₁=m(x-x₁)

m is slope provided as 5.

(4,3) is the point provided.

y-3=5(x-4)

y-3=5x-20

Add 3 to both sides...

y-3+3=5x-20+3

y=5x-17

The equation is in slope-intercept form...

y=mx+b

m is the slope.

b is the y-intercept, the value of y when x=0.