To find the y-intercept and the slope of the line given by the equation -8x + 4y = 12, we'll first rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Solve for y:
-8x + 4y = 12
Divide both sides by 4:
-2x + y = 3
Now the equation is in slope-intercept form:
y = 2x + 3
Identify the slope (m) and the y-intercept (b):
In the equation y = 2x + 3, the slope (m) is 2 and the y-intercept (b) is 3.
So, the slope of the line is 2, and the y-intercept is 3.