Answer:
First Graph:
Slope = - 4/5
Point-Slope Form: y - 3 = - 4/5 (x + 2)
Point: (-2, 3)
Second graph:
Slope = 4
Point-Slope Form: y + 6 = 4 (x + 1)
Point: (-1, -6)
Explanation:
First graph has two points: (-2, 3) & (8, -5)
Use the two points to find the slope using the Slope-Formula
Slope-Formula: y2 - y1/x2 - x1
m = slope
m = - 5 - 3/8 - - 2
m = - 8/10
m = - 4/5
The slope of the line will be - 4/5
Now for Point-Slope Form, we’ll need to use the two points with the slope to identify the Point-Slope Form of the graph
Two points: (-2, 3) & (8, -5)
Slope: - 4/5
Point-Slope Formula: y - y1 = m (x - x1)
Point-Slope Form: y - 3 = - 4/5 (x + 2)
The point will be: (-2, 3)