Question

Find the equation of the line in standard form that passes through the following points. Eliminate any fractions and simplify your answer.(−10,−10) and (−6,−6)

Answer 1

Find the slope between the two points.

m = y2 - y1 / x2 - x1

m = -6 - (-10) / -6 - (-10)

m = 4 / 4

m = 1

Equation of a line:

y - y1 = m(x - x1)

y - (-10) = 1(x - (-10)

y + 10 = 1(x + 10)

y + 10 = x + 10

y = x + 0

y = x

The line has a slope of 1 and the y-intercept is at the point of origin (0, 0).