It’s so easy I’m just dumb.
What is the slope of the line graphed below? (5,3) (-5,5)

m = 4/5 (slope)

y = 4/5x - 1 (slope intercept)(y = mx + b)

- 4x + 5y = - 5 (standard form)(Ax + By = C)

y + 5 = 4/5(x + 5) (point slope)(y - y1 = m(x - x1))

Step-by-step explanation:

All you need to do is remember the equation for slope: m = y2-y1/x2-x1

Where your first point is (x1,y1), and your second point is (x2,y2), and m is slope(rate of change : change in y over change in x).

Your first point starts with the smallest x: (-5,-5), then your second point is the greater x: (5,3)

Then just substitute, and solve:

y2-y1/x2-x1 →

3-(-5)/5-(-5) = 3+5/5+5 = 8/10 = 4/5

Extra information:

point slope:

y-y1 = m(x-x1).

Where (x1,y1) is the first point, (x,y) is the second point, and m is the slope. (note: the second point does not have 2 as a subscript so it can be set to slope intercept(y = mx + b) as an equation. This is because you could be given one point, and a slope, and be told to find the other)

Then just plug the coordinates into the equation, and solve for the equation of this line.

Since we already know what the slope is, we can just solve for the general equation given one point:

y-y1 = m(x-x1)

y+5 = 4/5(x+5). (point slope)

y + 5 = 4/5x + 4

-5 -5

y = 4/5x - 1

(slope intercept)

Given slope, another way to find the y intercept is to multiply the current x coordinate by the slope, and add it to the current y value.

given a point (5,3), and a slope of 4/5. The line will be y = slope × x + (y2 - (m × x2)),

y = 4/5 × x + (3 - (4/5 × 5))

y = 4/5x + (3 - 4)

y = 4/5x - 1

answer: the answer is 127 degrees