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shepuryov [24]
3 years ago
8

Write the equation of a line that includes the point (4, –2) and has a slope of 0 in slope-intercept form.

Mathematics
2 answers:
harina [27]3 years ago
8 0
Final answer: y=0x-2, which is y=-2
Naddika [18.5K]3 years ago
4 0

Answer:

The correct option is 1.

Step-by-step explanation:

The slope intercept form of a line.

y=mx+b

The point slope form of a line is

(y-y_1)=m(x-x_1)

where, m is slope of the line.

It is given that the slope of a line is 0 and it passes through the point (4,-2). So the point slope form of a line is

y-(-2)=0(x-4)

y+2=0

Subtract 2 from both the sides.

y+2-2=0-2

y=-2

The equation of line is y=-2. Therefore the correct option is 1.

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Helpppppp please !!?
ch4aika [34]
Please refer to my image where it shows my work as I’m explaining.

Okay, for system 1:

1. I am using the elimination method to solve. So I check if all the terms are lined up and if any are the same. I found that 2X are common in both equations.

2. The goal is to “eliminate” the term hence the name. So I can choose to add or subtract. I chose subtraction because 2 - 2 equals 0 which is our goal. Solve for the rest of the terms. This will lead to getting y =4. Refer to image for the work.

3. Last step to to find the X value. We do this by picking any of the given equations,then substitute y with 4 and solve to eventually get x = 10. Refer to image for the work.

FOR SYSTEM 2:

1. Again, I am using the elimination method to solve. I noticed that NONE of the terms are in common so I will have to intervene. You can chose any term to create a match with but I chose Y since it was the one I could use the smallest number to multiply with. When multiplying, DONT just multiply Y, multiply ALL the terms in the equation or else everything will crash.

2. Now that I have terms in common I can choose to add or subtract. I chose subtraction because 2-2 equals zero which is what we want. Solve look at image for my process which lead to X = -8

3. Last step is to find the value of Y. Chose any of the given equations in system 2 then substitute x with -8. Refer to image to see process. It lead to y = 20


To check the validity of the answers, substitute the x and y values into both equations both side of the equal side should have the same number. Hope that helped!

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