Question

Write the equation of the line represented in the graph below. line through (-4, 0) and (0, -2)​

Answer 1

Answer: y = -1/2x - 2

Explanation:

Using the 2 points you provided, you can find that the slope of the line is -0.5 or -1/2. Substituting this into y = mx + b, the equation is y = -1/2x - 2

Answer 2

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find the equation of a line given two points on that line, we can use the slope formula:

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

Using the two points (-4, 0) and (0, -2) we can find the slope of the line:

m = (-2 - 0) / (0 - (-4)) = -2 / 4 = -0.5

Now that we have the slope, we can use one of the points to find the y-intercept. Let's use the point (-4, 0)

0 = -0.5(-4) + b

b = 2

So the equation of the line is y = -0.5x + 2