Question

Put the following equation in slope intercept form, simplifying all fractions. 12x+8y=-24

Answer 1

The slope intercept form of the equation 12x ₊ 8y = ₋24 is

y = ₋3/2 x ₋ 3

Given the equation is 12x ₊ 8y = ₋24

we are asked to convert the given equation into slope intercept form.

Finding a line's equation requires using the slope-intercept form of a straight line. We must know both the line's slope and the point at which the line crosses the y-axis in order to use the slope-intercept formula.

12x ₊ 8y = ₋24

⇒ 12x ₊ 8y ₊ 24  = 0

we re-arrange the equation of the line to write it in the standard form

y = mx + b.

12x ₊ 8y = ₋24

8y = ₋12x ₋ 24

now divide the terms on the right side by 8.

y = ₋12x/8 ₋ 24/8

y = ₋3/2x ₋ 3

hence we get the slope intercept form as y = ₋3/2x ₋ 3, where m=s₋3/2 and b = ₋3

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