What is 4x + 2y = -20 written in slope-intercept form?
Slope-intercept form is,
y = mx + b
4x + 2y = -20
Solve this equation for y,
2y = -4x - 20
2y = 2(-2x - 10)
y = -2x - 10
To convert the given equation 4x + 2y = -20 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate the y variable on one side of the equation.
Let's begin by moving the 4x term to the right side of the equation:
2y = -4x - 20
Next, we divide both sides of the equation by 2 to simplify and isolate the y term:
y = -2x - 10
Therefore, the equation 4x + 2y = -20, when written in slope-intercept form, is y = -2x - 10. The slope (m) of the line is -2, and the y-intercept (b) is -10.