Question

Three questions Please HELP!

At which point do the equations y=−2x+10 and y=x+4 intersect?(1 point)

(1,6)

(2,6)

(2,5)

(1,5)

2.If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?



(1 point)

Their intersection point is the only point where different inputs into both functions yield different outputs.

Their intersection point is the only point where the same input into both functions yields different outputs.

Their intersection point is the only point where different inputs into both functions yield the same output.

Their intersection point is the only point where the same input into both functions yields the same output.


3.Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.(1 point)

Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit, and plot a second point.

Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.

Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.

Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.

Answer 1

1. (2,6)

2. C

3. B

Explanation:

y = - 2x + 10

y = x + 4

SInce the two equation both equal y, we can said they are equal.

- 2x + 10 = x + 4

- 10 - 10

- 2x = x - 6

- x - x

- 3x = - 6

/-3 /-3

x = 2

Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.

- 2(2) + 10 = 2 + 4

- 4 + 10 = 6

6 = 6

This is true since both sides are equal.

The point that intersects y=-2x+10 and y=x+4 is (2,6).

2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?

C) Their intersection point is the only point where different inputs into both functions yield the same output.

Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).

3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.

y = - 1/3x + 5

y = - 1/3(0) + 5

y = 5

Point: (0,5)

Slope: - 1/3

Rise over run (y/x) so up 3 and left 1.

B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.

Answer 2

2,6

Explanation: