To find the y-intercept and slope of the line, we can rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To rewrite the equation 3x - 4y = -16 in slope-intercept form, we need to isolate y.
Starting with the given equation:
3x - 4y = -16
Subtract 3x from both sides of the equation:
-4y = -3x - 16
Next, divide both sides of the equation by -4 to isolate y:
y = (-3x - 16)/-4
Simplifying, we get:
y = (3/4)x + 4
Now we can see that the slope (m) is 3/4 and the y-intercept (b) is 4.
Find the y-intercept and the slope of the line.
3x-4y=-16
Write your answers in simplest form.
1 answer