Find the equation of the line that goes through the points (4, –1) and (2, –5).

Use slope formula, m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, to find the slope of a line that passes through the points.

y = 2 x - 9

Step-by-step explanation:

slope = difference of y / difference of x

m = (-5 - (-1)) / (2 - 4) = -4 / -2 = 2

pass point (4 , -1)

y = mx + b         b: y intercept

b = y - mx = -1 - 2 x 4 = -9

equation: y = 2 x - 9

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: