Jennifer is 40 miles north of her house, and she is driving north on the highway at a rate of 35 miles per hour.
The slope is ?
The y-intercept is ?

The slope is 55.

Step-by-step explanation:

Slope determines the direction and the rate of increase or decrease between the two points on a surface or line.

In the question, it is given initially she is 20 miles north of her house

⇒ When x = 0 the y-coordinate is 20

So, the y-intercept is 20

Now, it is given that the rate of change is 55 miles per hour

Hence, the slope is same as 55 because it is the actual rate of change between the positions of Jennifer with time.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

answer: no

step-by-step explanation: because the big angle will spread away the 2 side that it is on and make the opposite side even longer.