Question

A line contains the points

(-3, -7) and (1, 5).



What is the slope of the line?

Answer 1

A function is shown.

`g\left(x\right)=6\left(2x+7\right)`



What is the value of `g\left(20\right)`?

Answer 2

To find the slope of the line passing through the points (-3, -7) and (1, 5), we use the slope formula:

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

Where:
(x1, y1) = (-3, -7)
(x2, y2) = (1, 5)

Plugging in the values:

m = (5 - (-7)) / (1 - (-3))
m = (5 + 7) / (1 + 3)
m = 12 / 4
m = 3

Therefore, the slope of the line passing through the points (-3, -7) and (1, 5) is 3.

Answer 3

To find the value of g(20) in the function g(x) = 6(2x + 7), we substitute x = 20 into the function and solve for g(20).

g(20) = 6(2(20) + 7) [Replace x with 20]
g(20) = 6(40 + 7) [Simplify inside the parentheses]
g(20) = 6(47) [Multiply 6 by 47]
g(20) = 282

Therefore, the value of g(20) is 282.