Question

The points (0,k) and (1,4) fall on a line with a slope of 9. What is the value of k?

Answer 1

k = -5

Explanation:

Slope of a line is given by

`(y_2 - y_1)/(x_2-x_1)`

where (x₁, y₁) and (x₂, y₂) are two points on the line

This is commonly referred to as rise/run

Given two points(0, k) and (1,4) and told that the slope is 9 we get

`9 = (4-k)/(1-0)\\\\9 = (4-k)/(1)\\\\9 = 4 -k\\\\\text{Subtract 5 from both sides to get }\\9 - 4 = 4 - 4 - k\\\\5 = -k\\\\ k = - 5\\\\`