Question

Write an equation of the line that passes through a pair of points: (2, 3), (4, -2)

a. y = -5/2 x -1/8
b. y = -5/2x -8
c. y = -5/2x +8
d. y = 5/2x +8​

Answer 1

Answer:

C. y = -5/2x +8

Step-by-step explanation:

To solve first find the slope using the slope formula which is m=$\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$. To find the slope simply plug in the points, $\frac{-2-3}{4-2}$ which equals -5/2. Next, put the equation into slope-point form, which is $y-y_{1} = m(x-x_{1})$. I will use the point (2,3). y-3=-5/2(x-2), then solve for y which equals y=-5/2+8.