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Anvisha [2.4K]
3 years ago
9

Which of the following lines the parallel to the line y-9=7(x+5)

Mathematics
1 answer:
sattari [20]3 years ago
7 0

Answer:

<h2>C.) y + 5 = 7(x - 9)</h2>

Step-by-step explanation:

Parallel lines have the same slope.

The slope-intercept form of an equation of a line:

<em>y = mx + b</em>

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The point-slope form of an equation of a line:

<em>y - y₁ = m(x - x₁)</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

<em>m</em><em> - slope</em>

We have the line y - 9 = 7(x + 5). The slope <em>m = 7</em>.

A) y - 9 = 3x + 4 → <em>m = 3</em>

B) y = -9x - 5 → <em>m = -9</em>

C) y + 5 = 7(x - 9) → <em>m = 7</em>

D) y - 9 = 5(x + 4) → <em>m = 5</em>

<em>The line C) y + 5 = 7(x - 9) has the same slope.</em>

<em></em>

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