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3 years ago

Line j goes through the point (-7, 5) and is perpendicular to 2x – 3y = -18. Find the equation of line j.

Mathematics

1 answer:

Alex777 [14]3 years ago

5 0

Answer:

3x + 2y = 31

Step-by-step explanation:

Solve the given equation for y to determine the slope of this line:

-3y = -2x = -18, so that y = (2/3)x + 6.

Therefore, a line perpendicular to the given line has the slope -3/2, which is the negative reciprocal of this 2/3.

Using the slope-intercept formula y = mx + b and inserting the knowns (slope = m = -3/2, y = 5 and x = -7), we obtain:

5 = (3/2)(-7) + b, or (after multiplying all terms by 2):

10 = -21 + 2b, or 2b = 31, or b = 31/2.

Then the equation is y = (-3/2)x + 31/2.

Let's put this into standard form. Multiply all terms by 2, obtaining:

2y = -3x + 31, or

3x + 2y = 31 This is the equation of the perpendicular line in question.

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2 years ago

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3 years ago

Ali surveyed 200 students at a school and recorded the eye color and the gender of each student. of the 80 male students who wer

Aloiza [94]

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3 years ago

The class needed to collect 20.5 pounds of cans for recycling over the next 5 months. the students plan to collect 3.75 pounds e

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To solve this problem, start by finding how many cans will be collected in 5 months. To do this, take the amount of cans collected each month and multiply it by the number of months. Set these values up in an equation.
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So this fills the first blank.

For the second blank, you must subtract the number collected from the number that was the goal for the class.
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Subtract the values to fill the second blank with 1.75 pounds.

Since they didn’t meet their goal, the last blank would be “less.”

I hope this helps! :)

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3 years ago