write the equation of a line that contains the points (9.-6) and (10,-4)

Answer 1

You can use the definition of the slope: (y₂-y₁)/(x₂-x₁) = m = (-4+6)/(10-9) = 2

Now use point-slope form with either point (let's use (9,-6)

y+6 = 2(x-9)

Please consider a tutor. Take care.

Answer 2

Jacques D is correct! He used the slope, m, that he found and the point-slop formula to find the equation.

As he mentioned, you can choose either point for

(x1, y1) in the point-slope equation:

y - y1 = m(x - x1)

Because he already showed you for using the first point, let’s

look at the solution by using the second point (we will get the same answer as expected).

Using (10, -4), we have:

y -(-4) = 2(x - 10)

distribute: y + 4 = 2x - 20

subtract 4 from each side: y = 2x - 24

So, looking at Jacque’s answer:

y + 6 = 2(x - 9)

distribute: y + 6 = 2x - 18

subtract 6 from each side: y = 2x - 24

We got the same slope-intercept form of the equation using either of the two points in the original question!