Question

In the xy-plane, line k passes through the points (8,4) and (9, 10), and is defined by the equation = mx+ b. What is the value of b?​

Answer 1

-44

Explanation:

The slope of the line passing through two points (x₁, y₁) and (x₂, y₂) is given by (y₂ - y₁)/(x₂ - x₁)

Therefore the slope of the given line k = (10-4)/(9-8) = 6

In the slope intercept equation, y = mx + b, m is the slope and b is the y intercept

Substituting for m we get the line equation as

y = 6x + b

Substitute any one of the points in this equation. Let's use point(8,4) ie x= 8, y =4

we get

4 = 6 x 8 + b

which gives b = 4-48 = -44