Question

Write the equation of the line that has a slope of -2 and y-intercept of 1.

Answer 1

Answer:

The equation of the line that has a slope of -2 and y-intercept of 1 will be:

• y = -2x+1

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

• m is the slope

• b is the y-intercept

Given

The slope m = -2

y-intercept b = 1

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

It is already stated that the y-intercept = -1

It means at y = 1, x = 0

Thus, we have the point (0, 1)

Now using the slope-intercept form

y = mx+b

substituting m = -2 and b = 1

y = -2x + (1)

y = -2x+1

Therefore, the equation of the line that has a slope of -2 and y-intercept of 1 will be:

• y = -2x+1