Find the slope and y-intercept for the line. Assume a = 4, b = 2, c = -4.
To find the slope and y-intercept for the line, we need to first write the equation of the line in slope-intercept form, which has the general form of y = mx + b.
Given the values of a, b, and c, we can write the equation of the line using the point-slope form: ax + by = c. Rearranging this equation, we get:
by = -ax + c
Dividing both sides of the equation by b, we get:
y = (-a/b)x + (c/b)
Now we have the equation in slope-intercept form, where the coefficient of x is the slope (m) and the constant term is the y-intercept (b).
In this case, a = 4, b = 2, and c = -4. Substituting these values into the equation, we get:
y = (-4/2)x + (-4/2)
Simplifying, we have:
y = -2x - 2
Therefore, the slope of the line is -2, and the y-intercept is -2.