Question

what is the slope intercept form of the linear equation 4x + 2y = 24
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Answer 1

The answer is: y = -2x+12

4x+2y=24=

4x-4x+2y=24-4x=

2y=24-4x

Divide each piece by 2=

2y/2=24/2-4x/2

y=12-2x

But, slope intercept form is y=mx + b so you must put the second part in reverse, making the answer to the equation be y=-2x+12
(Don't forget the - on -2)

Answer 2

The slope intercept form of the linear equation 4x + 2y is given by;

24y = -2x + 12

• We are dealing with slope intercept form of the equation of a straight line.

• Now, the formula for the slope intercept form of the equation of a straight line is given by; y = mx + c

Where;

m is slope

c is y-intercept

• Now, to write an equation in slope intercept form means we are going to write it in the general slope intercept equation form above.

• We are given the linear equation; 4x + 2y = 24

Transforming it to slope intercept form means we have to make y the subject of the formula;

2y = -4x + 24

divide both sides by 2 to get;

y = -2x + 12

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