9514 1404 393
Answer:
- slope: 3
- y-intercept: 10
- equation: y = 3x +10
Step-by-step explanation:
The two-point form of the equation of a line can be used.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
For the two points, we choose to use ones near (0, 0):
(x1, y1) = (-8, -14) and (x2, y2) = (14, 52)
Then our equation is ...
y = (52 -(-14))/(14 -(-8))(x -(-8)) -14
y = 66/22(x +8) -14
y = 3x +24 -14
y = 3x +10 . . . . . the equation
The slope is the coefficient of x: 3.
The y-intercept is the added constant: 10, or coordinates (0, 10).
