The slope is 4. It's right there in the problem. The equation underneath that is y=mx + b. M, in this case 4 or 4/1 is the slope. And 5 is the y intercept or where the line crosses the y axis.
Answer:

Step-by-step explanation:
Using the Pythagorean Theorem, if you take 8 and square it, you get 64.
You then take 5 and square it giving you 25.
add the 64 and 25 to get you 89 = x squared.
Then take the square roots of x. (Keep in mind, what you do to one side must be done to the other.)
Because 89 is not a perfect square, you can it it as the square root of 89.
(2, -4) → x = 2, y = -4
Put the coordinates of the point to the inequality.
y < x - 2 → -4 < 2 - 2 → -4 < 0 TRUE
y ≥ -x -4 → -4 ≥ -2 - 2 → -4 ≥ -4 TRUE
Answer:

You can check other systems.
(2) y > x - 2 → -4 > 2 - 2 → -4 > 0 FALSE
(3) y ≤ -x - 4 → -4 ≤ -2 - 4 → -4 ≤ -6 FALSE
(4) y > x - 2 → -4 > 2 - 2 → -4 > 0 FALSE
Answer:
slope = 3/2
y intercept = 2
y = 3/2x + 2
Step-by-step explanation:
to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)
(11-5) ÷ (6-2) =
6 ÷ 4 = 3/2
slope = 3/2
to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y
for the example im going to use the point (2,5)
5 = 3/2 (2) + b
5 = 3 + b
subtract three from both sides to find b (y-intercept)
b = 2