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Jet001 [13]
2 years ago
13

Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.

Mathematics
2 answers:
user100 [1]2 years ago
4 0
C.y=1/2x+6, is fit....
olga55 [171]2 years ago
3 0
Y - 3 = 1/2(x + 6) =...point slope form
y - 3 = 1/2x + 3
y = 1/2x + 3 + 3
y = 1/2x + 6...slope intercept form
-1/2x + y = 6...multiply everything by -2
x - 2y = -12 <=== standard form
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Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equa
muminat

Hey there!

The answer to your question is y = -3/4x - 3

If an equation in slope-intercept form is parallel to another equation, they will both have the same slope. So, we know part of the equation:

y = -3/4x + b

Now, we have to solve for b. We know that it has to pass through the given point, (4, -6), so we can plug the points into the equation, and solve for b:

-6 = (-3/4)(4) + b

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-3 = b

We know that "-3" is b, so that means the equation in slope-intercept form is y = -3/4x - 3

Hope it helps, and have an amazing day! You've got this!

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