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3 years ago

A line passes through (8,-4) and has slope 2/3. What is an equation in point slope form of the line? An equation of the line is?

Mathematics

1 answer:

QveST [7]3 years ago

3 0

Answer:

The point slope form of the line would be y + 4 = 2/3(x - 8) and the equation of the line would be y = 2/3x - 28/3

Step-by-step explanation:

To find the point-slope form of the line, start with the base form of point-slope form. Then input the point we have and the slope in the appropriate places.

y - y1 = m(x - x1)

y - -4 = 2/3(x - 8)

y + 4 = 2/3(x - 8)

Now to find the slope intercept form, you simply need to solve for y.

y + 4 = 2/3(x - 8)

y + 4 = 2/3x - 16/3

y = 2/3x - 28/3

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3 years ago

Factor 3/4 out of 3/4z + 6

Alenkasestr [34]

ANSWER

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$

EXPLANATION

We want to factor
$\frac{3}{4}$
out of

$\frac{3}{4} z + 6$

The first term is already having a factor of
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The constant term which is the second term is not having a factor of
$\frac{3}{4}$
so we need to use a trick of multiplying and dividing by the same factor to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} z + \frac{3}{4} \times \frac{6}{ \frac{3}{4} }$

We can now factor
$\frac{3}{4}$
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$\frac{3}{4} z + 6 = \frac{3}{4} (z + \frac{6}{ \frac{3}{4} } )$
Let us rewrite the right most fraction using the normal division symbol.

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \div \frac{3}{4} )$

We simplify to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \times \frac{4}{3} )$

This further gives us,

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Korvikt [17]

Answer:

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Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.

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Convert standard form (Ax + By = C) by isolating y from the rest of the equation.

Ax + By = C → y = -Ax/B + C/B → y = mx + b.

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x - 2y < 2.

Set it to slope-intercept as an inequality to find the slope and y-intercept.

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x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → y > 1/2x - 1.

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