Which is an equation of the line that passes through (2,-5) and (6,3)

Answer 1

Hi Kelsey S.

To find the equation

First use the coordinates to calculate the slope, m

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Second use the slope, m in the Slope Intercept Form for the equation of a line and one set of the coordinates given to calculate b

y = mx + b

Finally plug in the appropriate items into your Slope Intercept Form of your line

I got

m = 2

b = -9

y = 2x - 9

You can check your line by plugging in the x value from the given coordinates and see if calculates out to the given y values.