(Find the slope and y intercept of the graph of each equation) 2y + 4n = -6x
Please show steps. Thank you!
just convert to the slope-intercept form, and read them off.
2y + 4n = -6x
2y = -6x - 4n
y = -3x - 2n
To find the slope and y-intercept of the graph of the equation 2y + 4n = -6x, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Step 1: Rewrite the equation in slope-intercept form
To do this, isolate y on one side of the equation. Subtract 4n from both sides of the equation to get:
2y = -6x - 4n
Step 2: Divide both sides of the equation by 2 to solve for y:
y = (-6/2)x - (4/2)n
y = -3x - 2n
Now that we have the equation in slope-intercept form, we can identify the slope (m) and the y-intercept (b).
The slope (m) is the coefficient of x, which is -3 in this case.
The y-intercept (b) is the constant term, which is -2n in this case.
Therefore, the slope (m) is -3 and the y-intercept (b) is -2n.