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3 years ago

What is the equation of the line that passes through the point (-7, 2) and has a slope of -1?

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

3 0

Answer: y= -1x - 5

Step-by-step explanation:

The equation has to be in slope-intercept form which uses the formula

y=mx+b where m is the slope and b is the y-intercept.

So we given the slope and an x and y coordinate so we will plot those numbers into the formula and solve for the y intercept to write the equation.

the x coordinate is -7 and the y coordinate is 2

2 = -1(-7) + b

2 = 7 + b

-7 -7

b = -5 the y intercept is -5

Now the equation will be y= -1x - 5

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allochka39001 [22]

Since it is the midpoint we can say:
12x - 1 = 8x +11
All we have do to is get all the x's alone on one side

12x - 1 = 8x + 11
12x = 8x + 12 (add both sides by 1)
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8 0

3 years ago

Miss Chambers bought 5 pens for $255, if she made a profit of $3 each per pen how much did she sell a pen for?

Natasha2012 [34]

Answer:

$54

Step-by-step explanation:

First, we calculate the amount she paid for each pen.

$255/5 = $51

She paid $51 for each pen.

She made a profit of $3 per pen, so she sold each pen for $51 + $3 = $54

Answer: $54

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2 years ago

Read 2 more answers

I NEED HELP DESPERATELY

Inessa [10]

Answer:

Yvette cleared 10 large driveways

Step-by-step explanation:

small driveway = x

big driveway = y

x+y = 25

15x + 25y = 475

y = 25-x

15x + 25(25-x) = 475

-10x + 625 = 475

10x = 150

x= 15

15 + y = 25

y =10

10 large driveways, 1 5 small driveways

6 0

3 years ago

The expression, involving exponents , to represent the shaded area, in square inches, diagram. Then use that expression to calcu

mart [117]

Answer:

The shaded area is $23\ in^{2}$

Step-by-step explanation:

we know that

The shaded area is equal to the area of the large square minus the area of the two smaller squares

$A=6^{2} -(3^{2} +2^{2})\\ \\ A=(2*3)^{2} -(3^{2} +2^{2})\\ \\A=(2^{2})(3^{2}) -(3^{2} +2^{2})$

Calculate the shaded area

Remember that

$3^{2}=9\\ 2^{2}=4$

substitute

$A=(4)(9) -(9 +4)\\ \\A=36-13\\ \\A=23\ in^{2}$

5 0

3 years ago

A group of 2 adults and 4 children pay $95 for admission to a water park. A

il63 [147K]

Answer:

2a + 4c = 95

3a +7c =155

Step-by-step explanation:

2a + 4c = 95

3a +7c =155

8 0

3 years ago