Question

write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form. (-3,-5),(3,3)

Answer 1

y = 4/3x - 1

Explanation:

Points: (-3,-5) (3,3)

slope = (y-y)/(x-x)

m = (3 - - 5)/(3- -3) = 8/6 = 4/3

Point slope: y-y = m(x-x)

Slope: 4/3 and point (3,3)

y-3=4/3(x-3)

y-3 = 4/3x - 12/3

y = 4/3x - 4 + 3

y = 4/3x - 1