Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
9514 1404 393
Answer:
slope = k/2
Step-by-step explanation:
The slope formula is useful for finding slope.
m = (y2 -y1)/(x2 -x1)
m = (5k -7k)/(-3 -1)
m = -2k/-4
m = k/2
The slope is k/2.
Answer:
p = -2/5 or 3/8
Step-by-step explanation:
|5 − 3p| + 9 = 13p + 8
|5 − 3p| = 13p − 1
If 5 − 3p is positive:
5 − 3p = 13p − 1
6 = 16p
p = 3/8
If 5 − 3p is negative:
-(5 − 3p) = 13p − 1
-5 + 3p = 13p − 1
-4 = 10p
p = -2/5
Alternatively, we can square both sides of the equation:
(5 − 3p)² = (13p − 1)²
25 − 30p + 9p² = 169p² − 26p + 1
0 = 160p² + 4p − 24
0 = 40p² + p − 6
0 = (5p + 2) (8p − 3)
p = -2/5 or 3/8
