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>
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