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nexus9112 [7]
3 years ago
8

The equation of line AB is y 5x+ 1. Write an equation of a line paraliei to line AB in slope-intercept form that contains point

(4, 5)
Mathematics
2 answers:
Alchen [17]3 years ago
7 0

Answer:

The equation would be y = 5x - 15

Step-by-step explanation:

To find the equation to this line, we first have to note that parallel lines have the same slope. Since the original line has a slope of 5, we know that the new line will also have that slope. Then we can use the slope and the point in point-slope form and solve for y.

y - y1 = m(x - x1)

y - 5 = 5(x - 4)

y - 5 = 5x - 20

y = 5x - 15

Shkiper50 [21]3 years ago
3 0

Your equation is already in the slope-intercept form y = mx+q.

So, the slope of your line is 5.

Parallel lines have the same slope, so our unknown line has slope 5 as well.

Now use the slope-point formula to find the equation of the unknown line:

y-5 = 5(x-4) \iff y-5 = 5x-20 \iff y = 5x-15

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