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2 years ago

Find the equation of the line that is parallel to y = 2x - 7 and contains the point (-3,6)

1 answer:

6 0

1) The first step is to Know the condition for two lines be parallel is that have the same slope, and this form the slope given is 2, therefore the new function has its slope too

2) with the slope and the two points givens, you can find the equation

Y-Y1 = m( X-X1) , Y-6 = 2[(X-(-3)] ⇒Y-6 = 2X+6 ⇒Y = 2X+12, AND THIS IS THE EQUATION PARALLEL TO THE LINE Y = 2X-7

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3 years ago

Read 2 more answers

There are 740 tickets purchased for a Major League Baseball game. The lower reserved tickets cost $9.50 and the upper reserve co

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375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Step-by-step explanation:

Let x be the number lower reserved tickets

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y be the number of upper reserved tickets

Then according to given statements

$x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2$

From equation 1:

$x = 740-y$

Putting in equation 2

$9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50$

Subtracting 7030 from both sides

$7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5$

Dividing both sides by -1.5

$\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365$

Putting y = 365 in equation 1

$x+365 = 740\\x = 740 - 365\\x = 375$

Hence,

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Keywords: Linear equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

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2 years ago