MATH SOLVE

7 months ago

Q:
# What is the slope-intercept form for each equation in this system? Compare the slopes and y-intercepts to describe the graph of the system. 3x - 4y = 28 4x + 10y = 20 A) y = 3 4 x − 7; y = −2 5 x + 2; one line B) y = - 3 4 x − 7; y = −2 5 x + 2; parallel lines Eliminate C) y = 3 4 x − 7; y = 2 5 x + 2; intersecting lines D) y = 3 4 x − 7; y = −2 5 x + 2; intersecting lines

Accepted Solution

A:

3x - 4y = 28

4x + 10y = 20

First we rewrite the system of equations:

Equation 1:

3x - 4y = 28

3x - 28 = 4y

(3/4) x - 7 = y

Equation 2:

4x + 10y = 20

10y = 20 - 4x

y = 2 - (2/5) x

We have then:

y = (3/4) x - 7

y = - (2/5) x + 2

One line has a positive slope and the other line has a negative slope.

Thus, both lines are connected.

Answer:

D) y = 3/4 x - 7; y = -2/5 x + 2; intersecting lines

4x + 10y = 20

First we rewrite the system of equations:

Equation 1:

3x - 4y = 28

3x - 28 = 4y

(3/4) x - 7 = y

Equation 2:

4x + 10y = 20

10y = 20 - 4x

y = 2 - (2/5) x

We have then:

y = (3/4) x - 7

y = - (2/5) x + 2

One line has a positive slope and the other line has a negative slope.

Thus, both lines are connected.

Answer:

D) y = 3/4 x - 7; y = -2/5 x + 2; intersecting lines