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2 years ago

Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)

Mathematics

1 answer:

nikitadnepr [17]2 years ago

5 0

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Step-by-step explanation:

The parallel lines have:

Same slopes
Different y-intercepts

The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y = 5x + 4

∴ m = 5 and b = 4

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = 5

- Substitute the value of the slope in the form of the equation

∴ y = 5x + b

- To find b substitute x and y in the equation by the coordinates

of any point on the line

∵ The parallel line passes through point (-1 , 2)

∴ x = -1 and y = 2

∵ 2 = 5(-1) + b

∴ 2 = -5 + b

- Add 5 to both sides

∴ 7 = b

- Substitute the value of b in the equation

∴ y = 5x + 7

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Learn more:

You can learn more about the equations of the parallel lines in brainly.com/question/9527422

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2 years ago

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Step-by-step explanation:

<em>I LOST MY ANSWER RIGHT WHEN I WAS ABOUT TO FINISH DUE TO BRAINLY ROBOT DETECTION </em>

This question seems incomplete. I dont know the tax, and what he wants to do with the $350, so I'll just work without them.

I'm going to assume that he wants to buy extra tickets, popcorn, and soda with the extra money.

1. add $15, $2.25, and $1.75

2. 15.00+2.25+1.75= 19.00

3. divide 350 by 19

350/19= roughly 18.42

So, Xavier can buy 18 tickets with food and drinks.

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