passes thru (6,4) with x-intercept of 2

Question

equation line for point slope and slope intercept

Answer 1

passes thru (6,4) with x-intercept of 2:

Given the x-intercept we know the point (2, 0) is on the graph

We actually have 2 points... (6,4), (2,0)

From this we need to find the slope:  m = (change in y)/(change in x)

 

m = (0-4)/(2-6) = -4/(-4) = 1

 

Point slope:  y - y₁ = m(x-x₁)   ...

m = 1 

for (x₁, y₁) we can use either point.  Let's use (2, 0)

y-0 = 1(x-2)

y = x - 2

 

Given the points we were working with you will note that the point slope

form and the slope intercept coincide as the same basic equation.