Question

Write the slope-intercept form of the equation that passes through the point (3,6) and is parallel to the line y = 5x - 5

Answer 1

Answer:

the slope-intercept form:

y = 5x - 9

Step-by-step explanation:

y = 5x - 5, this line has slope = 5

parallel line, slope is the same so slope of the parallel = 5

equation

y - 6 = 5(x - 3)

y - 6 = 5x - 15

y = 5x - 9   <------the slope-intercept form

Answer 2

Answer: $y=5x-9$

Step-by-step explanation:

The slope-intercept form of a equation of the line is:

$y=mx+b$

Where m is the slope and b the y-intercept-

If the lines are parallel then they have the same slope:

m=5

Find b substitutin the point and the slope into the equation and solving for b:

$6=3*5+b\\b=-9$

Then the equation is:

$y=5x-9$