For each exercise below, find the equation of the line passing through the given points. Circle the two letters next to the correct equation. Then write these letters in the two boxes at the bottom of the page that contain the number of that exercise
(-1, 2) and (3, 4)
To find the equation of the line passing through the points (-1, 2) and (3, 4), we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
where (x1, y1) are the coordinates of one point on the line and m is the slope of the line.
First, let's calculate the slope (m):
m = (y2 - y1) / (x2 - x1)
m = (4 - 2) / (3 - (-1))
m = 2 / 4
m = 1/2
Using the slope-intercept form of a linear equation (y = mx + b), we can substitute one of the points and the slope to find the y-intercept (b):
2 = (1/2)(-1) + b
2 = -1/2 + b
b = 2 + 1/2
b = 2.5
Therefore, the equation of the line passing through the points (-1, 2) and (3, 4) is:
y = (1/2)x + 2.5
The correct equation for this exercise is (A) y = (1/2)x + 2.5.
The letters to circle are A and D.