Question

A line passes through the points (-1, 4) and (2,-2). What is the equation 10 points of this line?

A. y = 2x + 2
B. y = -6x + 3
C. y = -2x + 2
O y=-1x+4

Answer 1

The equation of the line passing through the points (-1, 4) and (2, -2) is found by calculating the slope and using point-slope form to rearrange into slope-intercept form, resulting in y = -2x + 2.

Step-by-step explanation:

To find the equation of a line passing through two points, (-1, 4) and (2, -2), we first need to calculate the slope (m). The slope formula is:

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

Plugging in our points:

m = (-2 - 4) / (2 - (-1))

m = -6 / 3 = -2

Now that we have the slope, we can use one of the points and the slope to write the equation in point-slope form, which is y - y1 = m(x - x1). Let's choose point (-1, 4):

y - 4 = -2(x - (-1))

y - 4 = -2(x + 1)

Now we expand and rearrange to get the equation in slope-intercept form (y = mx + b):

y - 4 = -2x - 2

y = -2x + 2

Therefore, the correct equation of the line is y = -2x + 2.