Question

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

Answer 1

Answer:

y = -2x + 7

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 = $\frac{y_2-y_1}{x_2-x_1}$ = $\frac{3-(-1)}{2-4}$ = $\frac{4}{-2}$ = -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