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Paha777 [63]
3 years ago
5

consider the point A=(1,3) and the line B, given by the equation y=2x-2 write an equation in slope-intercept of the line passing

through point A and parallel to line B
Mathematics
1 answer:
lara [203]3 years ago
7 0

Answer:

y=2x+1

Step-by-step explanation:

step 1

Write an equation in point-slope of the line passing through point A and parallel to line B

y-y1=m(x-x1)

Remember that

If two lines are parallel, then their slopes are equal

In this problem the slope of the given line is m=2

That means

The slope of the parallel line is also m=2

we have

m=2\\point\ A(1,3)

substitute

y-3=2(x-1)

step 2

Convert to slope intercept form

y=mx+b

we have

y-3=2(x-1)

isolate the variable y

y=2x-2+3

y=2x+1

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