Write an equation in slope-intercept form of the line that passes through (6, −1) and (3, −7). y=

Answer 1

Hi Quaronna,

To find the slope intercept form of the line that passes through (6,-1) and (3,-7), we need to first find the slope of the line. This equation is m=(y2-y1)/(x2-x1). We can plug in our data points to get m=(-7-(-1))/(3-6) and solve for m. We get 2 as our m. The first part of our slope intercept form is solved. y=2x+b.

Now we need to solve for b. To do this, we can plug in a data point to our equation and solve for b. Let's use the (6,-1) data point. -1=2(6)+b. When we solve for b, we get -13.

Our ultimate equation in slope intercept form is y=2x-13. We can validate this by plugging in one of the data points to get the pair.

Let's use the (3,-7) point. y=2(3)-13=6-13=-7. That's the data point!

The ultimate equation in slope intercept form is y=2x-13.