Answer:
5.
Equation for given line: <u>y = 2x - 2</u>
Equation for new line: <u>y = 2x +3</u>
6.
Equation for given line: <u>y = -0.25x + 4</u>
Equation for new line: <u>y = -0.25x + 3</u>
Step-by-step explanation:
You can find the equation for the given line using the formula y = mx + b where m is the slope and b is the y-intercept. When the slope for #5 hits the y-axis, that is known as the y-intercept so the b part in the formula, y = mx + b, would be -2 since it hits the y-axis at -2. Now the slope for #5 would be 2 because every x-coordinate is 2 y-coordinate. That means every time x goes to the right, y goes up twice.
The same is true for #6 except it's negative with a different slope and y-intercept but the concept is the same.
To find a line parallel to the given line, it can have any y-intercept you would like, it just needs to have the same slope as the given line.
