Question

What is an equation of the line that passes through the points (4, -2) and (8, – 7)?

Put your answer in fully reduced form.

Answer 1

y= -5x/4 + 3

Explanation:

To find slope, use the equation
`(y_2-y_1)/(x_2-x_1)`, so m(the slope) = (-7+2)/(8-4) = -5/4.

Now let us use (4,-2) in the equation
`y-y_1=m(x-x_1)`.

So y - (-2) = (-5/4)(x - 4) (equation of the line)

y + 2 = -5/4(x - 4)

y + 2 = -5x/4 + 5

y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)

You could also use (8,-7) instead of (4,-2).