1. Slope-intercept form is y=mx+b, where m=slope and b=y-intercept. To answer this question, plug in the values they have given you.
y=mx+b
y=1/4x-5
2. To write an equation in slope-intercept form when given two points, use m=y2-y1/x2-x1
Remember: in an ordered pair, x comes first then y.
Plug the y- and x-values in. So, y2=6, y1=2 and x2=-2, x1=9
6-(-)2/-2-9= - 4/11.
The slope of your next equation would be m= - 4/11
If you distribute -5 to the things in the parenthesis you would get 10k-20 which is the same as -5(-2k+4)
19. -x-2 = 2/3x + 3
5/3 x + 3 = -2
5/3x = -5
x = -3
20. none are correct, you can double check me by plugging in the x and y values in the coordanates into the first problem none of them worked out in the first equasion so no need to test the second
21. -3 is the answer, capable of being done by using desmos