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

Question

Finding the equation of the line with a given slope and y-intercept.

Answer 1

Hello Danielle,

 

I used the "Point-Slope" formula to solve this problem. 

 

This equation is  :     y-y₁ = m(x-x₁)

 

The point we use is ( 0, 3), so x₁ = 0 and y₁ = 3. Also the slope, m, is given as 4.

 

Plugging in the numbers for the equation we get: y- (3) = 4( x-0)

 

We distribute the 4 by multiplying it by both terms in the parenthesis and get:  y - 3 = 4x - 0

 

Adding 3 to both sides of the equation, we can isolate the y and get:   y = 4x +3  (This is the y-intercept form of the equation).

 

I hope this helps. If you still have questions you may want to look up " Point Slope Formula" on the internet or your textbook. Take care.

 

Ziyad