Question

Write an equation of the line,in point slope form, that passes through the two given points. Points: (-13,9),(11,-3)

It’s for number 7. I know it shows me the right answer but I am doing corrections and I need some help in how to solve it. Please help!

Answer 1

y-9=-1/2(x+13)

Explanation:

To find the slope for the line, we use

m = (y2-y1)/(x2-x1)

since we know the points( -13,9) and (11,-3)

m= (-3-9)/(11--13)

=(-3-9)/(11+13)

=-12/24

= -1/2

We can use the point slope form to make the equation for the line

y-y1=m(x-x1)

y-9=-1/2(x--13)

y-9=-1/2(x+13)

Answer 2

The equation in point slope form is y-y1 = m(x-x1)

The first point given is (-13,9) so this is used for Y1 and X1.

m is the slope which is found by the change in Y over the change in x.

The slope is -3 - 9 / 11 - -13, which equals -1/2

So the equation becomes y-9 = -1/2(x+13)