Question

Which of the following is the equation of the line on the graph? (0,-2)&(-1,0) Responses

y=−12x−2
y=−2x−1
y=−12x−1
y=12x−1

Answer 1

[AI-generated answer — Bot GPT 3.5]

In order to find the equation of the line passing through the points (0, -2) and (-1, 0), we first need to find the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1)

Substitute the coordinates of the two points into the formula:

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

The slope of the line is -2. Next, we can use the point-slope form of the equation of a line to find the equation:

y - y1 = m(x - x1)

Substitute one of the points into the equation (let's use (0, -2)):

y - (-2) = -2(x - 0)
y + 2 = -2x

y = -2x - 2

Therefore, the equation of the line on the graph that passes through the points is y = -2x - 2. None of the provided equations match this form, so the correct equation is not listed.