Put the following equation of a line into slope intercept form, simplifying all fractions 3x+3y=24

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Put the following equation of a line into slope intercept form, simplifying all fractions  3x+3y=24

Anthony Caraballo · Accepted Answer

Step 1  We know, equation of a line in slope-intercept form is given by:  y=mx+c  where, m= slope of line  c=y- intervept of the line  Now, given equation of line is:  3x+3y=24  On simplifying further. we get:  ⇒3y=24−3x  ⇒3y3=24−3x3 (dividing, both sides by 3)  ⇒y=243−3x3  ⇒y=8−x  ⇒y=−x+8  comparing with, y=mx+c, slope =−1, y-intercept =8  Step 2  Result:  Required equation is: y=−x+8.

madeleinejames20 · Accepted Answer

Result: 8Solution:Given equation: 3x+3y=24To simplify the equation and isolate y, we will follow the following steps:Step 1: Move the term containing x to the other side of the equation.3y=−3x+24Step 2: Divide both sides of the equation by the coefficient of y to isolate y.y=−3x+243Step 3: Simplify the expression on the right-hand side.y=−33x+243y=−x+8Therefore, the given equation 3x+3y=24 can be expressed in slope-intercept form as y=−x+8.In this form, the slope (m) of the line is −1, and the y-intercept (b) is 8.

Eliza Beth13 · Accepted Answer

To put the equation 3x+3y=24 into slope-intercept form, we need to isolate the variable y on one side of the equation and simplify any fractions.The slope-intercept form of a linear equation is given by y=mx+b, where m represents the slope of the line and b represents the y-intercept.Let&#039;s begin by isolating y in the equation 3x+3y=24:3x+3y=243y=24−3x3y=−3x+24y=−3x+243Next, we simplify the fraction −3x+243:y=−3x3+243y=−x+8Therefore, the equation 3x+3y=24 in slope-intercept form is y=−x+8.In this form, we can identify the slope (m=−1) and the y-intercept (b=8) of the line. The slope represents the rate of change of y with respect to x, and the y-intercept represents the point where the line intersects the y-axis.

Mr Solver · Accepted Answer

First, let&#039;s subtract 3x from both sides of the equation:3y=−3x+24Next, we divide both sides of the equation by 3 to simplify the coefficient of y:3y3=−3x+243Simplifying further, we get:y=−x+8Thus, the equation 3x+3y=24 in slope-intercept form is y=−x+8.

Put the following equation of a line into slope intercept form, simpli

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