Rosetta wants to write equations in the form y=mx+b for the lines passing through point p that are parallel and perpendicular to line g. first she finds the slopes of these two lines. what could she do next to find the y-intercepts?

a. substitute the slope and the coordinates of point p in y=mx+b and then solve for b for each equation.
b. multiply the slope by the x-coordinate and add the y-coordinate to the product.
c. multiply the slope by the y-coordinate and subtract the result from the x-coordinate.
d. solve the proportion m/b=y/x for b.

A. Substitute the slope and the coordinates of point P in y=mx+b and then solve for b for each equation.

Step-by-step explanation:

We know the equation for a line passing through a point P(x,y) is given as:

y = mx + b

where

m is the slope of the line.

x, y are the co-ordinates of point P.

b is the y-intercept of line on point P(x,y).

If g is the line. we find its slop m. Let's the slope 'm' is given as m = b/a

The slope of lines parallel to line g is b/a.

The slope of lines perpendicular to line g is -a/b.

Substituting the slope and and coordinates of point P and then solving for b will give us the y-intercept.

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!