Question

What is the equation of a line that passes thourgh the points (3,6) and (8,4)?

a. y=5/2×-3/2


b. y=5/2×-27/2

c. y=2/5×-24/5

d. y=2/5×+36/5​

Answer 1

Explanation:

The slope formula of the line passing through the points (x_1,y_1) and (x_2,y_2) can be found by:

m={y_2-y_1}/{x_2-x_1}

So to find the slope of a line segment joining the points ( 2, - 5) and (- 2, 4).

First, label the points as x_1 = 2, y_1 = - 5, x_2 = -2 and y_2 = 4

m={y_2-y_1}/{x_2-x_1} =

= {9}/{-4}

= {-9}/{4}

So, the slope (m

) = -9/4.