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y=-3x+2

y = x - 5

Step-by-step explanation:

Question 1

It is given that;

- one of the lines has an equation of; y = -3x-7

- the given line's y-int is (0, 2) ~(The y-int is when the line crosses the y axis, hence x is zero)

- these two lines are parallel

When two lines are parallel, their slope is the same, hence  the equations of the given line would look like this;

y = -3x + 2

In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).

Questions 2

It is given that;

- one of the lines has an equation of y = -5x + 1

- the given line's y-int is (0, -5) ~(The y-int is when the line crosses the y axis, hence x is zero)

- these two lines are perpendicular

When two lines are perpendicular, their slopes are the negatives reciprocal of each other, hence the equations of the given line would look like this;

y = x - 5

In the slope-intercept format (which is; y = mx + b, where "m" is the slope, and "b" is the y-intercept).

m a t h w a y. c o m

step-by-step explanation: