Question

Graph a line having a x-intercept of -2 and y-intercept of -6. Which of the following points lies on the graph?

Answer 1

Answer: B.B

Explanation:

From the information, we know the graph passes the (-2,0) and (0,-6). Using y = mx + c, we can find the slope by find the difference of y divded by difference of x
`(0-(-6))/(-2-0)` =
`(6)/(-2)` = -3 so the line is y = -3x + c. Using either one of the coordinates to substitute into the equation to find c.

-6 = -3(0) + c

c = -6

So the equation of the line is y = -3x - 6. For every coordinate, substitute in the x and y value and if the equation makes sense(meaning that y is equal to -3x - 6) to find that B is the only one that passes through the line