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Firlakuza [10]
3 years ago
9

What is the justification for step 4 in the solution process?

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

Multiplication property of equality

Step-by-step explanation:

Given

Step 4: b = -27/8

Required

Which property justifies it?

First, it should be noted that step 4 is a result of step 3

When step 3 is multiplied by 3/8 on both sides, we have step 4;

i.e.

\frac{8}{3b} = -9

\frac{8}{3b} * \frac{3}{8} = -9 * \frac{3}{8}

b = -9 * \frac{3}{8}

b = \frac{-9 * 3}{8}

b = \frac{-27}{8}

<em>The property that allows 3/8 be multiplied on both sides is referred to as the multiplication property of equality</em>

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<em><u>The equation of the line passing through the point (-4,-6) in slope intercept form is:</u></em>

y = \frac{-2}{9}x -\frac{62}{9}

<em><u>Solution:</u></em>

Given that we have to write the equation of the line passing through the point (-4,-6) that is parallel to the line y=-2/9x-1

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ---------- eqn 1

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

<em><u>Given equation of line is:</u></em>

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We know that slopes of parallel lines are equal

Thus slope of line parallel to given line is also \frac{-2}{9}

Now find the equation of line with slope \frac{-2}{9} and passing through (-4, -6)

\text{Substitute } m = \frac{-2}{9} \text{ and } (x, y) = (-4, -6) \text{ in eqn 1}\\\\-6=\frac{-2}{9} \times -4+c\\\\-6 = \frac{8}{9}+c\\\\-6 = \frac{8+9c}{9}\\\\-54 = 8+9c\\\\9c = -62\\\\c = \frac{-62}{9}

\text{Substitute } m = \frac{-2}{9} \text{ and } c = \frac{-62}{9} \text{ in eqn 1}\\\\y = \frac{-2}{9}x -\frac{62}{9}

Thus the equation of line is found

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3 years ago
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