Answer:
slope: -3
y-intercept: -5
equation: y = -3x - 5
Explanation:
The formula for slope is:
(y2 - y1)/(x2 - x1)
Let's use these coordinates:
(-1, -2)
(0, -5)
x1 = -1
x2 = 0
y1 = -2
y2 = -5
Substitute into the formula:
(y2 - y1)/(x2 - x1)
(-5 + 2)/(0 + 1)
Solve:
(-5 + 2)/(0 + 1)
-3/1
= -3
slope = -3
The y-intercept is when the x coordinate is 0.
Looking at the table, we see the coordinate (0, -5).
The y-coordinate is -5.
This means that the y-intercept is -5
y-intercept = -5
Slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept
m = -3
b = -5
Substitute:
y = mx + b
y = -3x - 5