Question

What is the slope of the line? Explain: I found the slope by _____________%0D%0A______________________________________________. %0D%0AI knew it was positive/negative (circle one) %0D%0Abecause it is _______________________________%0D%0A______________________________________________.%0D%0A4. How many solutions does the %0D%0Aequation have?%0D%0A8 + 3(𝑥 − 6) = −2 + 3𝑥 − 4%0D%0AR. one solution%0D%0AS. infinite solutions%0D%0AT. no solutions%0D%0AWork:%0D%0A5. How many solutions does the %0D%0Aequation have?%0D%0A8 + 2(𝑥 − 6) = −2 + 2𝑥 − 2%0D%0AS. one solution%0D%0AT. infinite solutions%0D%0AU. no solutions%0D%0AWork:%0D%0AGraphing Linear Equations Unit Rate, Slope from a Graph, Write Linear Equation from a Graph, Graph Linear %0D%0AEquations, Write an Equation in Slope-Intercept Form%0D%0AL. -4%0D%0AM. 2%0D%0AN. -
Answer
What is the slope of the line? Explain: I found the slope by _____________%0D%0A______________________________________________. %0D%0AI knew it was positive/negative (circle one) %0D%0Abecause it is _______________________________%0D%0A______________________________________________.%0D%0A4. How many solutions does the %0D%0Aequation have?%0D%0A8 + 3(𝑥 − 6) = −2 + 3𝑥 − 4%0D%0AR. one solution%0D%0AS. infinite solutions%0D%0AT. no solutions%0D%0AWork:%0D%0A5. How many solutions does the %0D%0Aequation have?%0D%0A8 + 2(𝑥 − 6) = −2 + 2𝑥 − 2%0D%0AS. one solution%0D%0AT. infinite solutions%0D%0AU. no solutions%0D%0AWork:%0D%0AGraphing Linear Equations Unit Rate, Slope from a Graph, Write Linear Equation from a Graph, Graph Linear %0D%0AEquations, Write an Equation in Slope-Intercept Form%0D%0AL. -4%0D%0AM. 2%0D%0AN. -2
Answered by GPT 3.5
The slope of the line is -4. I found the slope by calculating the difference in y-coordinates over the difference in x-coordinates between two points on the line. I knew it was negative because the line slopes downward from left to right.

For the equation 8 + 3(𝑥 − 6) = −2 + 3𝑥 − 4, it has one solution.

For the equation 8 + 2(𝑥 − 6) = −2 + 2𝑥 − 2, it also has one solution.

Therefore, the answer for the last question is:

L. -4

Since the slope is negative in both cases, the line slopes downward.
Answered by GPT 3.5
The slope of the line is -2. I found the slope by calculating the difference in y-coordinates over the difference in x-coordinates between two points on the line. I knew it was negative because the line slopes downward from left to right.

For the equation 8 + 3(𝑥 − 6) = −2 + 3𝑥 − 4, it has one solution.

For the equation 8 + 2(𝑥 − 6) = −2 + 2𝑥 − 2, it also has one solution.

Therefore, the answer for the last question is:

N. -2

Since the slope is negative in this case, the line slopes downward.