Question

Write an equation for the line in the given form.

Contains the points (8, 2) and (9, 4); slope-intercept form

A) y = 2x + 6
B) y = 2x - 6
C) y = -2x + 6
D) y = -2x - 6

Answer 1

The equation for the line containing the points (8, 2) and (9, 4) in slope-intercept form is y = 2x - 14.

Step-by-step explanation:

The equation for a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find the equation for the line containing the points (8, 2) and (9, 4), we need to first find the slope:

Slope = (y₂ - y₁) / (x₂ - x₁)

Substituting the coordinates of the points:

Slope = (4 - 2) / (9 - 8) = 2 / 1 = 2

Next, we can use the slope and one of the given points to find the equation:

y - y1 = m(x - x1)

y - 2 = 2(x - 8)

y - 2 = 2x - 16

y = 2x - 14

Therefore, the equation for the line in slope-intercept form is y = 2x - 14.