Question

write two equation lines passing through (5,7)​

Answer 1

Answer:

For x= 5 and y=7,

y–x=2 —(1)

2x–y=3 —(2)

Answer 2

The slope can be found using the formula :

y2 – y1

m = ______

x2 – x1

Where m is the slope and ( x1, y1), (x2, y2) are the two points on the line.

Substituting the two points from the problem gives:

m = 8 – 3

–2–1

m = 5

– 3

mp = – 1

m

Substituting gives: mp = _ 3 = 3

5 5

now that we have the slope of the perpendicular line and one point that we can use the point - slope formula to find the equation.The point - slope formula states: (y – y1) = (x – x1)

Where m is the slope and ( x1, y1) is a point the line passes through.

The point from the problem gives:

(y –7) = 3 (x – 5)

5

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