Question

Which linear equation in slope-intercept form goes through the points (-2,-1) and (0,1)?

a. y = 1/2x + 1
b. y = -2x + 1
c. y = 2x + 1
d. y = -1/2x + 1

Answer 1

The linear equation in slope-intercept form that goes through the points (-2,-1) and (0,1) is y = 1x + 1, which corresponds to option a. y = 1/2x + 1.

Step-by-step explanation:

To find the linear equation in slope-intercept form that goes through the points (-2,-1) and (0,1), we need to determine the slope and y-intercept. The slope can be found using the formula:

slope = (change in y) / (change in x)

Using the given points, the slope is:

slope = (1 - (-1)) / (0 - (-2)) = 2 / 2 = 1

The y-intercept can be found by substituting the values of one of the points into the equation y = mx + b, where m is the slope. Using the point (0,1), we have:

1 = 1(0) + b

b = 1

Therefore, the linear equation in slope-intercept form that goes through the points (-2,-1) and (0,1) is:

y = 1x + 1

The correct answer is a. y = 1/2x + 1.