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Step2247 [10]
3 years ago
15

Find the equations of the line that:

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:  Part A:  y = x + 6

Part B:  y = 10

The attachment shows the graphs of these equations.

Step-by-step explanation:

Find the slope, and then the y-intercept. Then write the equation in  Slope-intercept form . y= mx+b

m is the slope. b is the constant, the y-intercept.

First find the slope:  rise/run  

Rise is the difference in y-values  10-7 = 3

Run is the difference between x-values  4 - 1 = 3

The Slope is 3/3   simplify:

m = 1

Use this calculated slope with values of y and x from either of the given coordinates and calculate b

y = mx + b

10 = 1(4) + b  <em>The 1 is not necessary, its "implied" and invisible as a factor in multiplication</em>

10 = 4 + b .  subtract 4 from both sides  10 - 4 = 4 - 4  + b

6 = b

Put these calculated values for m and b into the slope-intercept equation"

y = x + 6

_________

Part B: Step-by-step explanation:  Slope-intercept form . y= mx+b

First find the slope:  rise/run  

Rise is the difference in y-values  10 - 10 = 0

At this point you know that if the slope is 0, it is a horizontal line intersecting the y-axis at the y-value, 10

That graphed line will pass through All x-values.

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Length x width will give you area so...

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3 years ago
How many solutions does the system of equations shown below have?
rjkz [21]

Answer:

one solution with a y value of 5

Step-by-step explanation:

/| x+y-4 = 0| x-y-6 = 0

We try to solve the equation: x+y-4 = 0

x+y-4 = 0 // - x-4

y = -(x-4)

y = 4-x

We insert the solution into one of the initial equations of our system of equations

We get a system of equations:

/| x+x-6-4 = 0| y = 4-x

2*x-10 = 0 // + 10

2*x = 10 // : 2

x = 10/2

x = 5

We insert the solution into one of the initial equations of our system of equations

For y = 4-x:  

y = 4-5

y = -1

We get a system of equations:

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4 0
3 years ago
If y=9 when x=7 find y when x=2?
PilotLPTM [1.2K]
Is that all the information? it could literally be any number with only that.
3 0
3 years ago
−3 3/4×5/6−2 1/3<br> I need help
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4 0
3 years ago
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Can you help me find the measure of each angle? Diagram attached
never [62]

<u>Answer:</u>

5x = 100°

4x = 80°

<u>Step-by-step explanation:</u>

We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.

We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.

So we can write it as:

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x=\frac{180}{90}

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Finding the measure of both the angles:

5x = 5(20) = 100°

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4 0
3 years ago
Read 2 more answers
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