slope y-intercept form of an equation for a line that has an x-intercept of -6 and goes through (-2,6)

Question

 linear equations

Answer 1

The slope intercept form is y = mx + b   Where m = slope and b is the y-intercept

If the x-intercept is -6, then the point (-6, 0) is on the line.  Since we now have 2 points on the line, we can now find the slope. m = (change in y)/(change in x) = (6-0)/(-2+6) = 3/2

So now we have y = (3/2)x + b

Now we can substitute one of the points to get the y -intercept:

Lets use (-6, 0):

y = (3/2)x + b = (3/2)(-6) + b = 0

-9 + b =0

b = 9

So our equation is:

 

y = (3/2)x + 9