What is the equation of a line parallel to y=7x-8 that passes through (5, 22)?

y = 7x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 7x - 8 ← is in slope- intercept form

with slope m = 7

Parallel lines have equal slopes, thus

y = 7x + c ← is the partial equation

To find c substitute (5, 22) into the partial equation

22 = 35 + c ⇒ c = 22 - 35 = - 13

y = 7x - 13 ← equation of parallel line

the answer is c hope it

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.