Put the following equation of a line into slope-intercept form, simplifying all fractions.
8x+10y=-30
To put the equation 8x + 10y = -30 into slope-intercept form, which is y = mx + b where m is the slope and b is the y-intercept, we need to isolate the y variable.
Step 1: Subtract 8x from both sides of the equation.
10y = -8x - 30
Step 2: Divide both sides of the equation by 10 to simplify the fraction.
y = (-8/10)x - 30/10
Simplifying the fraction gives:
y = (-4/5)x - 3
Therefore, the equation in slope-intercept form is y = (-4/5)x - 3.