Question

x y
-2 80
-1 70
2 40
5 10


What is the slope of the line? -30

What is the y-intercept of the line? 10

What is the equation of the line?
y
=
−
30
x
+
10

Answer 1

What is the slope of the line?

What is the y-intercept of the line?

What is the equation of the line?

Answer 2

or in the form of y = mx + b:

y = -30x + 10

Answer 3

To find the slope of the line, you can use the formula for slope:

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

Using the points (-2, 80) and (5, 10):

slope = (10 - 80) / (5 - (-2))
slope = (-70) / 7
slope = -10

The slope of the line is -10.

To find the y-intercept of the line, you can use the formula y = mx + b and substitute the slope (-10) and one of the given points (-2, 80):

80 = -10(-2) + b
80 = 20 + b
b = 80 - 20
b = 60

The y-intercept of the line is 60.

So, the equation of the line is:

y = -10x + 60