Write the equation of the line that passes through the points (2,6)(2,6) and (-5,4)(−5,4). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answer 1

First we'll start with the slope formula: ([y₂-y₁]/[x₂-x₁])

For our numerator, we take the difference of the y-coordinates and our denominator, the difference of the x-coordinates.

The y-coordinate of the second point is 4, the first is 6.

4-6 = -2

The x-coordinate of the second point is -5, the first is 2.

-5-2 = -7

So that's our slope.

We'll look at inserting our slope and our first point to use the point-slope form to get our equation.

m=(2/7), (2,6)

y-y₁ = m(x-x₁)

y-6 = (2/7)(x-2)

y-6 = (2/7)x-(4/7)

y-(42/7) = (2/7)x-(4/7)

y = (2/7)x + 5 (3/7)

Hope this helps!