Answer:
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


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.


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


Now we solve for the y-intercept.
6x + 3y = -9
6(0) + 3y = -9


Now for the slope.
3y = -6x - 9
Now we need to divide all our variables by 3 to get y.


17. x - y = 4
Let's start with the x-intercept.
x - y = 4
x - 0 = 4

Now we solve for the y-intercept.
x - y = 4
0 - y = 4
-y=4


Now for the slope.
x - y = 4
-y = -x + 4
We need to divide all our variables by -1 to get y.


18. 3x + 4y = 12
Let's start with the x-intercept.
3x + 4y = 12
3x + 4(0) = 12


Now we solve for the y-intercept.
3x + 4y = 12
3(0) + 4y = 12


Now for the slope.
3x + 4y = 12
4y = -3x + 12


19. -7x + 2y = -16
Let's start with the x-intercept.
-7x + 2y = -16
-7x + 2(0) = -16


Now we solve for the y-intercept.
-7x + 2y = -16
-7(0) + 2y = -16


Now for the slope.
-7x + 2y = -16
2y = -7x - 16


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


Now for the slope.
x - 5y = 55
-5y = x + 55

