Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:f(x) = 2x − 20g(x) = x − 1a
1 answer:
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Answer & Step-by-step explanation:
Slope-intercept form:
m is the slope and b is the y-intercept. Insert the given slope:
To find the y-intercept, take the given coordinate point and insert:
Solve for b:
Simplify multiplication:
Subtract 45 from both sides:
The y-intercept is -50. Insert:
Use the slope formula for when you have two points:
The slope is the change in the y-axis over the change in the x-axis, or rise over run. Insert the points:
The slope is . Insert:
Now follow the steps from the last problem to find the y-intercept. Choose a point and insert into the equation:
Solve for b:
Simplify multiplication:
Re-insert:
Subtract b from both sides:
Subtract 4 from both sides:
Simplify subtraction:
Re-insert:
Divide both sides by -1 to make the variable positive (can be seen as -1b):
The y-intercept is .
Write the equation:
:Done