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2 years ago

Help easy question!!

Mathematics

1 answer:

LenKa [72]2 years ago

5 0

When you look at the x = 0 and y = -2, that is the y-intercept since the x = 0.

Then when you look at the second one, it goes right one and up four.

As rise over run, it would be 4 / 1 or simply 4.

The slope is 4 and the y-intercept is -2

Plug it in the equation: y = mx + b. M is the slope and B is the y-intercept.

y = 4x -2

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Representatives from the student councils at three area high schools are traveling to the national convention in New York. North

ivann1987 [24]

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wshs = nshh + 6 = sshs + 11

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3 years ago

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Determine if the following system of equations has no solutions, infinitely many

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Step-by-step explanation:

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3 years ago

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3 years ago

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Find the equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation 3/2x-2y=-

kondaur [170]

The equation for the line that passes through the point (1,-3) and that is parallel to the line with the equation $\frac{3}{2}x - 2y = \frac{-17}{2}$ is:

$y = \frac{3}{4}x - \frac{15}{4}$

<h3><u>Solution:</u></h3>

Given that line that passes through the point (1, -3) and that is parallel to the line with the equation $\frac{3}{2}x - 2y = \frac{-17}{2}$

We have to find equation of line

<em><u>The slope intercept form is given as:</u></em>

y = mx + c

Where "m" is the slope of line and "c" is the y-intercept

Let us first find slope of line containing equation $\frac{3}{2}x - 2y = \frac{-17}{2}$

$\frac{3}{2}x - 2y = \frac{-17}{2}$

Rearrange the above equation into slope intercept form

$\frac{3x}{2} + \frac{17}{2} = 2y\\\\y = \frac{3x}{4} + \frac{17}{4}$

On comparing the above equation with slope intercept form y = mx + c,

$m = \frac{3}{4}$

So the slope of line containing equation $\frac{3}{2}x - 2y = \frac{-17}{2}$ is $m = \frac{3}{4}$

We know that slopes of parallel lines are equal

So the slope of line parallel to line having above equation is also $m = \frac{3}{4}$

<em><u>Now let us find the equation of line having slope m = 3/4 and passes through point (1 , -3)</u></em>

Substitute $m = \frac{3}{4}$ and (x, y) = (1 , -3) in slope intercept form

y = mx + c

$-3 = \frac{3}{4}(1) + c\\\\c = -3 - \frac{3}{4}\\\\c = \frac{-15}{4}$

<em><u>Thus the required equation of line is:</u></em>

substitute $m = \frac{3}{4}$ and $c = \frac{-15}{4}$ in slope intercept form

$y = \frac{3}{4}x + \frac{-15}{4}\\\\y =\frac{3}{4}x - \frac{15}{4}$

Thus the equation of line is found out

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