Question

I need help on number six I have graphed the data that is given but I need to find three ordered pairs of numbers for each equation to be able to plot my points on the coordinate plane
I will give you Brainly and five stars ⭐️✨ plus a thanks.

Answer 1

#6

• x-y=-2
• y=x+2

Ordered pairs

• (0,2)
• (1,3)
• (2,4)

And

• x-y=2
• y=x-2

Ordered pairs

• (1,-1)
• (2,0)
• (-2,-4)

Remember parallel lines have no solutions

Answer 2

Answer:

Step-by-step explanation:

Given system of equations

$\textsf{Equation 1}:\quad x-y=-2$

$\textsf{Equation 2}:\quad x-y=2$

Rewrite each equation to make y the subject.

Input x = 0 into the equation to find the y-intercept.

Input y = 0 into the equation to find the x-intercept.

Input x = 4 into the equation to find a third ordered pair.

Plots the points on the graph and draw a line through them.

Equation 1

$\begin{aligned}x-y &=-2\\ \implies -y&=-x-2\\y&=x+2\end{aligned}$

$x=0 \implies y=0+2=2 \implies (0,2)$

$y=0 \implies x+2=0 \implies x=-2 \implies (-2,0)$

$x=4 \implies y=4+2=6 \implies (4,6)$

Equation 2

$\begin{aligned}x-y& =2\\\implies -y &=-x+2\\y & = x-2\end{aligned}$

$x=0 \implies y=0-2=-2 \implies (0,-2)$

$y=0 \implies x-2=0 \implies x=2 \implies (2,0)$

$x=4 \implies y=4-2=2 \implies (4,2)$

Slope-intercept form of a linear equation:  $y=mx+b$

(where m is the slope and b is the y-intercept)

Comparing both equations:

• Same slopes
• Different y-intercepts

Therefore, the lines are parallel. This is called Inconsistent and means the system of equations has no solution (since the lines never intersect).