Question

Find the equation of the line in slope intercept form that has a slope of -2 and passes through the point (6,3). Demonstrate that your answer is correct (y=-2x+15)

Answer 1

y=-2x+15

Explanation:

First, write out the equation in slope-intercept form, with what you already have:

`y=-2x+b`

Let "b" represent the y-intercept.

To find the y-intercept, substitute the point (6,3) in for the "x" and "y" variable of the equation and solve for "b":

`3=-2(6)+b\\3=-12+b\\3+12=-12+12+b\\15=b`

Therefore, your y-intercept is 15.

That means your equation is slope-intercept form is y=-2x+15.