To write the equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to substitute the given values into the equation.
Given:
Slope (m) = 2
Point on the line: (-12, -16)
We can substitute the slope (m) and the coordinates of the point (x, y) into the equation and solve for the y-intercept (b).
y = mx + b
-16 = 2(-12) + b
-16 = -24 + b
To isolate b, we add 24 to both sides of the equation:
-16 + 24 = -24 + b + 24
8 = b
Now we have the value of the y-intercept (b), which is 8.
The equation of the line in slope-intercept form is:
y = 2x + 8