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ad-work [718]
2 years ago
14

Find the y-intercept.

Mathematics
2 answers:
Svetllana [295]2 years ago
7 0

Answer:

(0, 7/12)

Step-by-step explanation:

to find the y intercept we equate x to 0.

hence,

f(0) = 7/12

the coordinate is (0, 7/12)

jenyasd209 [6]2 years ago
3 0

Answer:

(0,\frac{7}{12})

Step-by-step explanation:

In order to find the y-intercept of an equation, simply plug in 0 for x, as that's where the y-axis is.

\frac{(2(0)+1)(0+7)}{((0)+3)((0)+4)}

Simplify:

\frac{7}{(3)(4)}=\frac{7}{14}

Therefore, the y-intercept for the equation is:

\frac{7}{14}

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The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

y-y_1=m(x-x_1)

  • m is the slope of the lne
  • (x1, y1) is any point on the line.

  • Given the equation y = 3/2x + 1, the slope of the line is 3/5

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Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:brainly.com/question/19417700

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3 years ago
For each of the equations below, solve for y in terms of x. !<br> a. 2x – 3y = 12
ira [324]

Answer:

\large\boxed{y=\dfrac{2}{3}x-4}

Step-by-step explanation:

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