Find the equation for the line that has a slope of -3 and a y intercept of (0,4)

Question

Find the equation of a line that has a slope of -3 and a y intercept of (0,4).

 

find the equation for the line that has a slope of 2 and goes through the Point (2,6).

Answer 1

a)since the slope is -3, let the line be y=-3x+b.

Plug in the intercept (0,4) y=-3x+4

 

b) let the line be y=2x+b, plug in (2,6).

6 =2*2+b

b=2

so y = 2x+2