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evablogger [386]
3 years ago
8

Where do the lines y=2x+1 and y=-5x-6 intersect?

Mathematics
2 answers:
Gnoma [55]3 years ago
5 0

Answer:

(-1, -1)

Step-by-step explanation:

To find where two lines in slope-intercept form intersect, set them equal to each other.

2x + 1 = -5x - 6

7x = -7

x = -1

Knowing they intersect at x = -1, substitute -1 into either of the two equations to find the y-value of their intersection.

y = 2(-1) + 1

y = -2 + 1

y = -1

So the intersection point of the two lines is (-1, -1).

kipiarov [429]3 years ago
3 0
Answer: (-1,-1)

Explanation:

I added a picture
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Which equation does the graph of the systems of equations solve?
mihalych1998 [28]

Answer:

\text{B. }\frac{1}{3}x-3=-x+1

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to (x_1,y_1) and (x_2, y_2) (doesn't matter which you assign) and use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let:

(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)

The slope is equal to:

m=\frac{0-1}{1-0}=\frac{-1}{1}=-1

Therefore, the slope of this line is -1. In slope-intercept form y=mx+b, m represents slope, so one of the lines must have a term with -x in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)

Using the slope formula:

m=\frac{-2-(-3)}{3-0}=\frac{1}{3}

Thus, the slope of the line is 1/3 and the other line must have a term with \frac{1}{3}x in it, eliminating answer choice C and leaving the answer \boxed{\text{B. }\frac{1}{3}x-3=-x+1}

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into y=mx+b

7 0
3 years ago
Darius deposits $300 into a new savings account. The account earns at a rate of 2.18% every 6 months. How much money does Darius
MAVERICK [17]
45.87= 2.18 plus 300 is 345.87 hope this is correct if not im soooo sorry 
5 0
4 years ago
What is the volume of this prism 10mm 8mm 12mm 3mm 2mm
Solnce55 [7]

Answer:

5760 mm

Step-by-step explanation:

just multiply lol

3 0
2 years ago
What is 8 2/3 dividend by 3 1/3
Anni [7]
It is 2 and 3/5 your welcome :)
7 0
3 years ago
-3x+6y= -3 and -5+y=-23
Ira Lisetskai [31]

-5 +y = -23

add 5 to each side

y = -18

-3x+6y = -3

-3x + 6(-18) = -3

-3x -108 = -3

add108 to each side

-3x = 105

divide by -3

x = -35


x=-35

y= -18



5 0
3 years ago
Read 2 more answers
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