Question

Help!! Please please answer quickly and in the next 9 hours!

Solve these questions.

Answer 1

Please refer to step-by-step.

Explanation:

Let's solve all of these one at a time.

15. -2x - y = -5

To find the x-intercept, we need to equate the value of y to 0.

-2x - 0 = -5

`(-2x)/(-2)=(-5)/(-2)`

`x=2.5`

To find the y-intercept, we need to equate the value of x to 0.

-2(0) - y = -5

Now since we cannot have a negative value, we need to divide both sides by -1.

`(-y)/(-1)=(-5)/(-1)`

`y=5`

To find the slope form, we can simply transpose the value of -2x to the other sides of the equal sign.

-y = 2x - 5

Now we cannot have a negative value for the slope, we need to divide both sides by -1, leaving us with.

y = -2x + 5

16. 6x + 3y = -9

Let's start with the x-intercept.

6x + 3y = -9

6x + 3(0) = -9

`(6x)/(6)=(-9)/(6)`

`x=1.5`

Now we solve for the y-intercept.

6x + 3y = -9

6(0) + 3y = -9

`(3y)/(3)=(-9)/(3)`

`y = -3`

Now for the slope.

3y = -6x - 9

Now we need to divide all our variables by 3 to get y.

`(3y)/(3)=(-6x)/(3)-(9)/(3)`

`y=-2x-3`

17. x - y = 4

Let's start with the x-intercept.

x - y = 4

x - 0 = 4

`x=4`

Now we solve for the y-intercept.

x - y = 4

0 - y = 4

-y=4

`(-y)/(-1)=(4)/(-1)`

`y = -4`

Now for the slope.

x - y = 4

-y = -x + 4

We need to divide all our variables by -1 to get y.

`(-y)/(-1)=(-x)/(-1)+(4)/(-1)`

`y=x-4`

18. 3x + 4y = 12

Let's start with the x-intercept.

3x + 4y = 12

3x + 4(0) = 12

`(3x)/(3)=(12)/(3)`

`x=4`

Now we solve for the y-intercept.

3x + 4y = 12

3(0) + 4y = 12

`(4y)/(4)=(12)/(4)`

`y = 3`

Now for the slope.

3x + 4y = 12

4y = -3x + 12

`(4y)/(4)=-(3x)/(4)+(12)/(4)`

`y=-(3x)/(4)+3`

19. -7x + 2y = -16

Let's start with the x-intercept.

-7x + 2y = -16

-7x + 2(0) = -16

`(-7x)/(-7)=(-16)/(-7)`

`x=-2(2)/(7)`

Now we solve for the y-intercept.

-7x + 2y = -16

-7(0) + 2y = -16

`(2y)/(2)=(-16)/(2)`

`y=-8`

Now for the slope.

-7x + 2y = -16

2y = -7x - 16

`(2y)/(2)=-(7x)/(2)-(16)/(2)`

`y=-(7x)/(2)-8`

20. x - 5y = 55

Let's start with the x-intercept.

x - 5y = 55

x - 5(0) = 55

x = 55

Now we solve for the y-intercept.

x - 5y = 55

0 - 5y = 55

`(-5y)/(-5)=(55)/(-5)`

`y=-11`

Now for the slope.

x - 5y = 55

-5y = x + 55

`(-5y)/(-5)=-(x)/(-5)+(55)/(-5)`

`y=-(x)/(5)-11`