Question

Choose ONE SLOPE AND ONE POINT. Then write an equation in slope-intercept form using the slope and the point. BE SURE TO SHOW YOUR WORK!

Slope:
a) 3
b) -2
c) 12
d) 5

Point:
i) (3, 2)
j) (10, 5)
k) (-1, -6)
l) (3, -3)
m) (10, 10)
n) (8, 7)
o) (12, 2)
p) (2, -12)
e) -7
f) -8
g) -10
h) -11

Answer 1

Using slope -2 and point (3, 2), the slope-intercept form equation is y = -2x + 8. We found the y-intercept (b) by substituting the slope and point into the formula and solving for b.

Step-by-step explanation:

To write an equation in slope-intercept form using a chosen slope and point, we'll follow the equation y = mx + b, where m is the slope and b is the y-intercept. Let's select slope (b) -2 and point (i) (3, 2). First, we plug the slope and the coordinates of the point into the slope-intercept form equation like this: 2 = (-2)(3) + b. To find the y-intercept b, we solve the equation:

2 = -6 + b

b = 8

So, our final equation with a slope of -2 and passing through the point (3, 2) is y = -2x + 8.