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vlada-n [284]
3 years ago
11

Graph the line that passes through the points (6, 1) and (-3, -5)

Mathematics
1 answer:
kozerog [31]3 years ago
4 0

Answer:

y=2/3x-3

Step-by-step explanation:

First, find the slope of the line. Which is (1+5)/(6+3)=6/9=2/3.

Next, we find the y-intercept. Which is (0, -3).

We have the equation y=2/3x-3. To graph the line just plot the two points in the equation, and the y-intercept. Then draw a straight line.

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Sketch a system of linear equations that has a solution of (-3, 7) on the coordinate grid provided. WILL GIVE BRAINIEST
ludmilkaskok [199]

Answer:

y=x+10

y=-2x+1

(see attached picture)

Step-by-step explanation:

The idea of solving a system of equations graphically is taht both graphs cross each other at the same point.

The problem doesn't state so, but we can find the equations of the lines that pass through the desired point by using the point-slope form of the equation and by picking any slope we wish.

The slope-intercept form of a linear equation looks like this:

y-y_{1}=m(x-x_{1})

so let's use the following slopes: m_{1}=1 and m_{2}=-2. Remember, you can pick any slope you wish.

so now we can substitute the provided point (-3,7) and its respective slopes:

m_{1}=1

y-7=1(x-(-3))

y=x+3+7

y=x+10

this will be our first equation.

m_{2}=-2

y-7=-2(x+3)

y=-2x-6+7

y=-2x+1

so now we can plot the graphs of the given equations.

how to plot them? you can pick any x-value you like and use the provided equatioins to find the corresponding y-value. You plot the two points and build the graph.

Let's take the first equation:

y=x+10

and let's use the x-value x=0. We now substitute that into the equation so we get:

y=0+10

y=10

so now my two ordered pairs are (0,10) and (-3,7) so I can plot them on my graph and connect them with a straight line. (see attached picture.)

and we can follow the same procedure for the second graph.

let's use the x=0 again so we get:

y=-2(0)+1

y=1

so the ordered pairs are: (0,1) and (-3,7)

so we plot them to get our final graph (see attached picture)

Of course, this is one of the ways in which we can solve this problem. Since they are asking us to plot the graphs and not quite finding the equations for the system of equations, you could just draw any two lines you like and the answer would be correct as long as the two lines pass through the same point.

3 0
3 years ago
Pls help I'd appreciate it
gayaneshka [121]

Answer:

2)

(2x -5) + (x) + (2x - 3) = 32.

5x-8 = 32.

ii) 5x-8=32

5x= 32+8

5x = 40

x= 40/5

x = 8

iii) 2x -5

2 × 8 -5 = 11.

2x-3

2×8-3

16-3 = 13

x =8

sides of the triangle= 8, 11, 13.

5 0
3 years ago
Х 9 17 25 33 -6 -24 -96 -384 Is the relationship linear , exponential , or neither?
deff fn [24]

Answer:

The correct answer is exponential

Step-by-step explanation:

Hope this helps everyone on the question! :)

5 0
3 years ago
Read 2 more answers
Solve the inequality: 12p + 7 > 139
lara31 [8.8K]
12p+7>139 Start
12p>132 Subtract 7
p>11 Divide 12
6 0
3 years ago
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HEEEEEEELLLLLLLPPPPPPPPPP PPPPPLLLLLLSSSSS
ladessa [460]

Answer:

d. -19, -3.7, -3/4, 6.05

Step-by-step explanation:

Hope this helps mate (´▽`ʃ♡ƪ)

7 0
2 years ago
Read 2 more answers
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