FINAL ANSWER:
y = 3x - 6
Step-by-step explanation:
The equation of a line in slope-intercept form is given by:
y = mx + b
where:
- m is the slope of the line.
- b is the y-intercept, the point where the line crosses the y-axis.
You are given the slope (m) as 3 and a point that the line passes through, which is (1, -3). You can use this information to find the equation:
y = 3x + b
Now, plug in the coordinates of the point (1, -3) into the equation to solve for the y-intercept (b):
-3 = 3(1) + b
-3 = 3 + b
Now, solve for b:
b = -3 - 3
b = -6
So, the equation in slope-intercept form is:
y = 3x - 6