Answer:
y = 3x - 6
Explanation:
We can find the equation of the line in slope-intercept form (i.e., y = mx + b), where
- (x, y) is any point on the line,
- m is the slope,
- and b is the y-intercept.
Step 1: We can find the slope using the slope formula, which is:
m = (y2 - y1) / (x2 - x1), where
- (x1, y1) is one point on the line,
- and (x2, y2) is another point on the line.
We can allow (1, -3) to be our (x1, y1) point and (2, 0) to be our (x2, y2) point:
m = (0 - (-3) / (2 - 1)
m = (0 + 3) / 1
m = 3
Step 2:
Now we can plug in (1, -3) for x and y and 3/2 for m in the slope-intercept form. This will allow us to solve for b (our y-intercept):
-3 = 3(1) + b
-3 = 3 + b
-6 = b
Thus, the equation of the line created by the table of values is
y = 3x - 6