Question

What is the equation of the line that goes through the points (4,-1) and
(2,3)?

Answer 1

y = -2x + 7

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = a given y coordinate

x = a corresponding x coordinate

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope =
`(y_2-y_1)/(x_2-x_1)` =
`(3-(-1))/(2-4)` =
`(4)/(-2)` = -2

plug in the values to the equation y = mx + b

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

y = -2x + 7