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valentinak56 [21]
2 years ago
7

Please help FAST I need the answer along with you explaining the steps so I can get it thanks! I’ll give Brainlist also!

Mathematics
1 answer:
kupik [55]2 years ago
3 0

Answer:

The equation of required line is: \mathbf{5x-8y+34=0}

Step-by-step explanation:

We need to write equation in the form Ax+By+C=0 of the line parallel to 5x-8y+12=0 and through the point (-2,3)

First we need to find slope and y-intercept of the required line.

Using equation of line  5x-8y+12=0 to find slope.

Since the given line and required lines are parallel there slope is same.

Writing equation in slope intercept form: y=mx+b where m is slope.

5x-8y+12=0 \\-8y=-5x-12\\\frac{-8y}{-8y}=\frac{-5x}{-8}-\frac{12}{-8}\\y=\frac{5}{8}x+\frac{3}{4}

So, the slope m = 5/8

The slope of required line is m=\frac{5}{8}

Now finding y-intercept using slope m=\frac{5}{8} and point(-2,3)

y=mx+b\\3=\frac{5}{8}(-2)+b\\3=\frac{-5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}

So, the equation of required line having slope m=\frac{5}{8}  and y-intercept b=\frac{17}{4}

y=mx+b\\y=\frac{5}{8}x+\frac{17}{4}\\y=\frac{5x+17*2}{8}\\y= \frac{5x+34}{8}  \\8y=5x+34\\5x-8y+34=0

So, The equation of required line is: \mathbf{5x-8y+34=0}

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Minchanka [31]

Answer:

y = -x - 4

Step-by-step explanation:

the equation of a linear graph is y = mx + b

you know the m = -1

so now the equation is y = -x + b

from here, what you could do to find b is...

plug (-1, -3) into the equation

1) x = -1, y = -3

2) -3 = -(-1)  + b

3) -3 = 1 + b

4) -4 = b

or you can look at the y-intercept which is where the line intersects with the y-axis

it seems to be (0, -4)

so "b" would be equal to -4

this makes the final equation y = -x + (-4) or y = -x - 4

4 0
2 years ago
what is the equation of the line that is parallel to the given line and passes through the point (2, 3) ? a. x + 2y = 4 b. x + 2
aleksandr82 [10.1K]

Answer:

see explanations

Step-by-step explanation:

The given blue line has a slope of m = -1/2.

The line parallel to the given line passing through point (x0,y0)=(2,3) is given by the point-slope form:

(y-y0)=m(x-x0)

substitute values

(y-3) = (-1/2)(x-2)

Expand and transpose

y = (-1/2)x + 1 + 3

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We choose the second equation b. x+2y=8 and convert to slope-intercept form:

2y=-x+8

y = (-1/2)x + 4, which is exactly equation (1)

So

b. x+2y=8 is the correct answer.

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3 years ago
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Tcecarenko [31]
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iren2701 [21]

Answer:

a) 2, 3, 5

Step-by-step explanation:

2, 3, 5

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63 is not a prime number.

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5 0
3 years ago
If 6 times a certain number is added to8, the result is 32. Which of the following equations could be used to solve the problem
Alja [10]

This used to confuse me, too. We can use a variable to represent a number we don't know.

In elementary school, you had a problem that said 3 + _ = 8 and you could figure out the blank was 5.

Instead, we have 3 + x = 8 and we can figure out that x = 5.

We can also be given a value for x and asked something like if x = 8, what is x + 7, which we know is 15.

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So, six times a certain number, which we are spparently calling x, is 6x. Adding 8 to that is 6x + 8. Those do not combine to make 14 or 14x because one term has the variable and one does not.

If the result is 32...

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Let's look at the other options.

6x = 32. Where's the 8 added??

6(x + 8) = 32. Well, that looks like it could be it, buuuuut we'd multiply 6 by everything in the parentheses, so this is 6 times the sum of a number and 8 is 32, or 6x + 48 = 32. Not quite.

6x = 8 + 32. That's six times a number equals the sum of 8 and 32, right? Thaaaat's not what it says.

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3 years ago
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