Parallel and perpendicular equations (! 40 points! )

3y - 7x = - 9

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 = - x - 1 ← is in slope- intercept form

with slope m = -

Given a line with slope m then the slope of a line perpendicular to it is

= - = - =

Rearrange the given equations to find which slope matches m =

Consider 3y - 7x = - 9

Add 7x to both sides

3y = 7x - 9 ( divide all terms by 3 )

y = x - 3 ← in slope- intercept form

with slope =

Thus 3y - 7x = - 9 represents a perpendicular line

ou would have 12 of each

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.