Question

Put the following equation of a line into slope-intercept form, simplifying all fractions:

6x+2y=−10.
a) y=−3x−5
b) y=−3x+5
c) y=−3x+10
d) y=−3x−10

Answer 1

The equation 6x+2y=-10 can be simplified into the slope-intercept form as y=-3x-5.

Step-by-step explanation:

The equation 6x+2y=-10 can be rearranged into the slope-intercept form (y=mx+b) by isolating the y variable on one side of the equation. To do this, we need to solve for y.

Step 1: Subtract 6x from both sides of the equation: 2y=-6x-10

Step 2: Divide both sides of the equation by 2 to solve for y: y=(-6/2)x-10/2

Step 3: Simplify the expression: y=-3x-5

Therefore, the equation 6x+2y=-10 can be simplified into the slope-intercept form as y=-3x-5.