Question

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

Answer 1

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

$y=2x-2+3$

$y=2x+1$