SOLUTION: Write each equation in slope-intercept form. If possible and identify the slope and y intercept if they exist.
6x-4y=24
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-> SOLUTION: Write each equation in slope-intercept form. If possible and identify the slope and y intercept if they exist.
6x-4y=24
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Question 1127017: Write each equation in slope-intercept form. If possible and identify the slope and y intercept if they exist.
6x-4y=24 Found 2 solutions by Theo, josgarithmetic:Answer by Theo(13342) (Show Source):
add 4y to both sides of the equation and subtract 24 from both sides of the equation to get 6x - 24 = 4y
divide both sides of the equation by 4 to get 6/4 * x - 24/4 = y
flip sides and simplify to get y = 3/2 * x - 6
the equation is now in slope intercept form.
the slope is 3/2.
the y-intercept is -6.
since the y-intercept is the value of y when x = 0, then the coordinate point of the y-intercept is (0,-6).
the x-intercept is the value of x when y = 0.
to find that, set y = 0 to get 0 = 3/2 * x - 6.
add 6 to both dies and multiply both sides by 2/3 to get 6 * 2/3 = 3/2 * 2/3 * x.
simplify to get 12/3 = x
simplify further to get 4 = x.
the x-intercept is x = 4.
the coordinate point of the x-intercept is (4,0).
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