What is the equation of the line in slope-intercept form? the line perpendicular to y = x + 2 through (-7, -8)

Step-by-step explanation:

Point-slope formula: , where are the coordinates of a point on the line, and is the slope of the line.

You are given a point that the line you are trying to find passes through, and a slope. The slope is less obvious than the point, but you can find the slope using the given information.

The line perpendicular to y = x + 2 will have the opposite reciprocal slope of this line. The slope of y = x + 2 is 1, so the opposite reciprocal of 1 is:

Now that you have both a point and the slope of the line you are trying to find, you can substitute these values into the point-slope formula (Notice: the name of this formula contains both "point" and "slope").

Substitute for and into the point-slope formula.

Simplify this equation.

Distribute -1 inside the parentheses.

Subtract 8 from both sides of the equation.

This line is in slope-intercept form (), so we are done.

answer: true

step-by-step explanation:

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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