How do I find the Slope, X-intercept, Y-intercept of 3x+4y=6?

Answer 1

Slope= #-3/4#, x intercept is 2, y intercept is #3/2#

Solve the equation for y, #y=-3/4 x +3/2 #. Coefficient of x is its slope, he constant term #3/2# is the y intercept. For x intercept make y=0 and solve for x. It would be x=2. X intercept is 2.

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Answer 2

Eli Assouline

To find the slope, x-intercept, and y-intercept of (3x + 4y = 6):

Slope: Rewrite the equation in slope-intercept form (y = mx + b), where (m) is the slope. (3x + 4y = 6) (4y = -3x + 6) (y = -\frac{3}{4}x + \frac{3}{2}) So, the slope (m = -\frac{3}{4}).
X-intercept: Set (y = 0) and solve for (x). (3x + 4(0) = 6) (3x = 6) (x = 2) The x-intercept is ((2, 0)).
Y-intercept: Set (x = 0) and solve for (y). (3(0) + 4y = 6) (4y = 6) (y = \frac{3}{2}) The y-intercept is ((0, \frac{3}{2})).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.