Find the equation in slope - intercept form, of the line passing through the points (-1, 2) and (3, -4).

Solution:

The slope-intercept form of the equation is given as :

y = mx + c

Where m is the slope of the line and c is the y intercept

m = (y₂ - y₁)/(x₂- x₁)

m = (-4 - 2)/(3 - (-1))

m = (-6)/4

m = -3/2

The equation of the line will be:

(y - 3) = (-3/2)(x - (-4))

(y - 3) = (-3/2)(x) + (3/2)(-4)

(y - 3) = (-3/2)x - 6

y = (-3/2)x - 3

Find the equation in slope - intercept form, of the line passing through the points (-1, 2) and (3, -4).

Summary:

The equation in slope - intercept form, of the line passing through the points (-1, 2) and (3, -4) is y = (-3/2)x - 3