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
(3, -1) (-3, 5)
To find the equation of the line passing through the given points, we can use the slope-intercept form of a linear equation: y = mx + b.
Step 1: Find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Let's substitute the coordinates of the points into the formula:
m = (5 - (-1)) / (-3 - 3)
m = 6 / -6
m = -1
Step 2: Pick one of the given points and substitute its coordinates into the equation y = mx + b to solve for b.
Using the point (3, -1):
-1 = (-1)(3) + b
-1 = -3 + b
b = 2
Step 3: Substitute the slope (m) and the y-intercept (b) into the equation y = mx + b.
The equation of the line passing through the given points is:
y = -x + 2
Now we can circle the two letters next to the correct equation.
The correct equation is y = -x + 2, so we will circle the letters "A" and "E".
The letters to be written in the two boxes at the bottom of the page that contain the number of this exercise are: AE.