what is the slope intercept form that contains the point (3,4) and has a slope of 2

Question

What Is the slope intercept form of the point 3,4 and has a slope of 2

 

 

Answer 1

Well, first, what is slope intercept form? Slope intercept-form is given by 

 

y = mx + b

 

where m is the slope and b is the y-intercept. However, we do not know the slope intercept, but we do have a point and the slope - so we should use the point-slope form and then manipulate it to get slope-intercept form. Point-slope form is given by:

 

y - y₁ = m(x-x₁)

 

where (x₁,y₁) is our given point, which is (3,4). So, plug everything in we got: 

 

y - 4 = 2(x-3) 

Expand 2(x-3) by multiplying the 2 through the parenthesis: 

y-4 = 2x - 6 

add 4 to both sides:

y-4 + 4 = 2x - 6 + 4

y = 2x - 2 

 

Now this is in slope-intercept form, so the answer is:

 

y = 2x - 2