What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)? y = x + 3 y = x + 7 y = 3x – 13 y = 3x + 5

y = x-1

Step-by-step explanation:

y = x + 4

This is in slope intercept form  ( y = mx+b where m is the slope and b is the y intercept).  The slope is 1

Parallel lines have the same slope

y = 1x+b

Using the given point

5 = 6*1+b

5-6 = 6+b-6

-1 =b

The equation becomes

y =1x-1

y = x-1

john earns $14.00 for two hours of work.

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.