Question

Write an equation for the line parallel to the given line that contains C. C(-3,8); y = 4/5x+5 (Write in slope intercept form)

Answer 1

Answer:

First determine the slope of the given line. Based on this​ slope, determine the slope of the line to be found. Remember that parallel lines have the same slope and perpendicular lines have slopes whose product is -1. Once the slope is​ found, use it along with the given point to write the​ point-slope equation of the new line. Solve for y to write the new equation in the form y=mx+b

Step-by-step explanation:

Answer 2

In the equation you want to find, the constant on the right (the y-intercept) will be the one that lets the line go through the given point. Putting that point in the equation, we can solve for the intercept:

... 8 = (4/5)(-3) + b

Adding 2.4 to each side gives

... 10.4 = b

Your equation is ...

... y = (4/5)x + 10.4

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The constant 10.4 could be written 52/5 if you like.