Question

Write an equation in slope-intercept form that describes the line with a slope of -2 and (5,4) is on the line

Answer 1

The equation in slope-intercept form will be:

• y = -2x + 14

Explanation:

Given

• slope = m = -2

• point (5, 4)

We know that the slope-intercept form of the line equation is

`y = mx+b`

where m is the slope of the line and b is the y-intercept

substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'

y = mx+b

4 = -2(5) + b

4 = -10 + b

b = 4+10

b = 14

now substituting m = -2 and b = 14 in the slope-intercept form to get the equation in slope-intercept

y = mx+b

y = -2x + 14

Therefore, the equation in slope-intercept form will be:

• y = -2x + 14