Answer:
- slope: -2
- y-intercept: -1
- equation: y = -2x -1
Explanation:
Given a table of values for a linear function that includes (x, y) = (0, -1) and (1, -3), you want the slope, y-intercept, and equation of the function.
Slope
The slope is the ratio of "rise" (change in y) to "run" (change in x). The equation for it is ...
m = (y2 -y1)/(x2 -x1)
For the points given above, we find the slope to be ...
m = (-3 -(-1))/(1 -0) = -2/1 = -2
The slope is m = -2.
Y-intercept
The y-intercept is the value of y when x=0. The table tells us ...
The y-intercept is b = -1.
Equation
The slope-intercept equation of a line is ...
y = mx +b . . . . . . where m is the slope and b is the y-intercept
For the found values of m and b, the equation is ...
y = -2x -1