3. Which statements about the line that passes through (-2, 0) and (2, -4) are true? Select all that apply.
А The slope of the line is 1.
B The line intersects the y-axis at (0, -2).
C The equation of the line is y= -x-2
D The line intersects the x-axis at (-2, 0).

B, C, and D.

Step-by-step explanation:

Let's go through each answer choice.

A: To find the slope of a line from two points, we use this formula: . Plugging in the values (-2,0) and (2, -4), we get:

Because option A says the slope is 1, but we got -1, option A is false.

B: To find the y-intercept, we use this formula:

Since we know the value of b is the y-intercept, we could write the y-intercept as (0,-2). Therefore, option B is true.

C: The equation of a line (in slope-intercept form) is y = mx + b, where y - y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. Since we already solved for the y-intercept and slope, let's plug in those values:

As you can see, the equation we got here matches the one in option C, meaning it's true.

D: We know that a point is written like this: (x, y). If the x-coordinate is not zero but the y-coordinate is, then it's the x-intercept. Since the question says that (-2,0) is one of the points the line passes through, and option D says that the x-intercept is (-2,0), it's true.

answer: yes youre right.

step-by-step explanation: