Question

Which choice is the slope-intercept equation of the line shown below?

(1,2)

(0, -1)

A. y = 3x - 1
B. y = 2x-1
C. y = 2x + 1
D. y = 3x

Answer 1

C is my answer

Explanation:

Answer 2

The slope-intercept equation of the line passing through (1, 2) and (0, -1) is y = 3x - 1 (Option A).

What is the slope-intercept equation of the line?

To find the slope-intercept equation of the line given two points (1, 2) and (0, -1), you can use the formula for the slope (m) and then substitute one of the points into the slope-intercept form y = mx + b to find the y-intercept (b).

The slope (m) is given by the formula:

`m = \frac{{\text{{change in }} y}}{{\text{{change in }} x}}`

Let's calculate the slope using the given points (1, 2) and (0, -1):

`m = \frac{{2 - (-1)}}{{1 - 0}} = (3)/(1) = 3`

Now that we have the slope (m), we can use one of the points to find the y-intercept (b). Let's use the point (0, -1):

-1 = 3 * 0 + b

b = -1

Now, we can write the equation in slope-intercept form y = mx + b with m = 3 and b = -1:

y = 3x - 1

So, the correct choice is:

A. y = 3x - 1