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3 years ago

14

What is the y intercept of the line whose equation is y = 1/2x - 3

2 answers:

den301095 [7]3 years ago

7 0

The y intercept is when x=0 so y=1/2(0) -3 so y=0-3 so y=-3

aleksandrvk [35]3 years ago

4 0

Hi there!
The y-intercept of the equation y = 1/2x - 3 is (0,-3).

This is because in the equation y=mx+b, the b represents the y-intercept. Since the equation of the line you were given is in y=mx+b form, you're able to easily find the y-intercept. When asked for the y-intercept, it is always best to give it as a point, you can use this - (0,y) - the y representing the y-intercept.

If there's anything else that I can help you with, please let me know! :)

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2/3 x (-6/7 + 4/5) = (2/3 x 4/5) x (-6/7) : verify

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Hi my lil bunny!

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Let's solve your equation step-by-step.

$(\frac{2}{3}x) ( \frac{-6}{7} + \frac{4}{5}) = [\frac{\frac{2^x4}{3} }{5} ] ( \frac{-6}{7} )$

$\frac{-4}{105} x = \frac{-4x^5}{35}$

Step 1: Subtract $(-4)/35x^5$ from both sides.

$\frac{-4}{105} x - \frac{-4}{35x^5} = \frac{-4x^5}{35} - \frac{-4x^5}{35}\\\\\frac{4}{35}x^5 + \frac{-4}{105} = 0$

Step 2: Factor left side of equation.

$x(0.114286 x^4 - 0.038095 ) = 0$

Step 3: Set factors equal to 0.

$x = 0 or 0.114286 x^4 - 0.038095 = 0\\\\x = 0 or x = -0.759836 or x = 0.759836$

So the answer is : x = 0 or x = - 0.759836 or x = 0.759836

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