A line contains the points
(-3, -7) and (1, 5).
What is the slope of the line?
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.
A function is shown.
`g\left(x\right)=6\left(2x+7\right)`
What is the value of `g\left(20\right)`?
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.