Question

Put the equation of the line 3y−3x=12 into slope-intercept form, simplifying all fractions.

a) y=x−4
b) y=x+4
c) y=x−3
d) y=x+3

Answer 1

To convert the equation to slope-intercept form, rearrange it to solve for y. Divide all terms by 3 to isolate y, resulting in y = x + 4, which is the slope-intercept form.

Step-by-step explanation:

To convert the equation 3y - 3x = 12 into slope-intercept form, we first need to solve for y. The slope-intercept form is given by y = a + bx, where a is the y-intercept and b is the slope.

• Start with the given equation: 3y - 3x = 12.
• Add 3x to both sides of the equation: 3y = 3x + 12.
• Divide every term by 3 to solve for y: y = x + 4.

So, the equation of the line in slope-intercept form is y = x + 4, which corresponds to option (b).