Question

Can someone please tell me what the answer is and if you can please tell me how you get the answer :))

Answer 1

equation for left side:
`y=3x+2`

equation for right side:
`y=3x-10`

equation for top side:
`y=5`

equation for bottom side:
`y=-1`

Explanation:

Slope intercept form is y=mx+b

m=slope

b= y intercept

Equation for left side:

We can find slope using points (0,2) and (1,5) in the formula
`(y_(2) -y_(1) )/(x_(2)-x_(1) )`

`(5-2)/(1-0)\\ (3)/(1)`

`3\\`

The y intercept is 2 since we see the line intersect the y axis at 2

So we fill in the equation with this information

`y=3x+2`

Equation for right side:

Since the line is parallel to the other one then the slope will be the same which is 3

and to find y intercept we fill in the equation with what we know first

`y=3x+b`

Now we fill in any point to find y intercept and I will use (4,2)

`2=3(4)+b\\2=12+b\\-10=b`

Now that we find b we put that into the equation

`y=3x-10`

Equation for top side:

Since this is flat the slope is zero

and we can continue to find that the y intercept is at 5

and we can fill in this information and then simplify

`y=0x+5\\y=5`

Equation on bottom side:

Since this is also flat the slope is zero and we can see the y intercept is at -1

So once again we fill in what we know then simplify

`y=0x-1\\y=-1`

Hope this helps please let me know if you have further questions or if this is confusing