Given an equation in point-slope form, explain how to determine the coordinates of its y-intercept. Given an equation or graph of a line, describe how to write an equation of a parallel line that goes through a given point.
Given an equation or graph of a line, describe how to write an equation of a perpendicular line that goes through a given point.

IF POSSIBLE ANSWER ALL 3, BUT IF YOU ONLY KNOW ONE FEEL FREE TO ANSWER ONLY ONE. WILL GIVE BRAINLIEST

Hi there!

Given an equation in point-slope form, explain how to determine the coordinates of its y-intercept.

The y-intercept of a line occurs when x=0. Replace x with 0 in the equation and solve for y to find the y-intercept.

Given an equation or graph of a line, describe how to write an equation of a parallel line that goes through a given point.

Determine the slope of the line. In slope-intercept form , the slope would be , and in point-slope form , the slope would be as well. Given a graph, it would be necessary to solve for the slope. Find two points and plug them into the equation as and to solve for the slope.Parallel lines always have the same slope. Now that we've just solved for the slope, plug it into .Now, all that's left to solve in the equation is . Plug the given point into along with the slope and solve for .Plug both the slope and y-intercept back into to achieve the final equation.

Given an equation or graph of a line, describe how to write an equation of a perpendicular line that goes through a given point.

Determine the slope of the line.Perpendicular lines always have slopes that are negative reciprocals. To determine the slope of a perpendicular line, take the slope from step 1 and find its negative reciprocal. For example, the negative reciprocal of 2 is -1/2. Plug this slope into .Now, all that's left to solve in the equation is . Plug the given point into along with the slope and solve for .Plug both the slope and the y-intercept back into to achieve the final equation.

I hope this helps!

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