Question

Given the following two points on a line, write the equation of the line in slope-intercept and point-slope form. (1, 4) and (-3, -2)

Answer 1

we need to find the slope using the slope formula
slope(m) = (y2 - y1) / (x2 - x1)
(1,4) x1 = 1 and y1 = 4
(-3,-2) x2 = -3 and y2 = -2
now we sub
slope(m) = (-2-4) / (-3-1)
slope(m) = -6/-4 which equals 3/2

point-slope form : y - y1 = m(x - x1)
slope(m) = 3/2
you can choose either of your set of points
(1,4) x1 = 1 and y1 = 4
now we sub
y - 4 = 3/2(x - 1) ====>POINT-SLOPE FORM

y - 4 = 3/2(x - 1) -- distribute through the parenthesis
y - 4 = 3/2x - 3/2
y = 3/2x - 3/2 + 4
y = 3/2x - 3/2 + 8/2
y = 3/2x + 5/2 =====> SLOPE-INTERCEPT FORM

Answer 2

do you have any questions at all ?