Big Ideas Math Integrated - Algebra $1 >$ T.28 Write an equation for a parallel or perpendicular line $5 S H$
Line $p$ has an equation of $y = - \frac{5}{6} x - 5$ . Line $q$ includes the point $(9, - 4)$ and is parallel to line
p. What is the equation of line $q$ ?

Answer

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Step 3: Solve for y. $y - - 4 = - \frac{5}{6} (x - 9)$

Steps

Step 1 ：Step 1: Find the slope of line q. Since line q is parallel to line p, their slopes are equal. The slope of line p is - $\frac{5}{6}$ . So, the slope (m) of line q is - $\frac{5}{6}$ .

Step 2 ：Step 2: Apply the point-slope form of a linear equation, which is $y - y_{1} = m (x - x_{1})$ , where ( $x_{1}, y_{1}$ ) is the given point and m is the slope. Substitute the point (9, -4) and the slope - $\frac{5}{6}$ .

Step 3 ：Step 3: Solve for y. $y - - 4 = - \frac{5}{6} (x - 9)$

Big Ideas Math Integrated - Algebra 1> T.28 Write an equation for a parallel or perpendicular line 5SHLine p has an equation of y=−56x−5. Line q includes the point (9,−4) and is parallel to linep. What is the equation of line q ?

Answer

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Big Ideas Math Integrated - Algebra $1 >$ T.28 Write an equation for a parallel or perpendicular line $5 S H$
Line $p$ has an equation of $y = - \frac{5}{6} x - 5$ . Line $q$ includes the point $(9, - 4)$ and is parallel to line
p. What is the equation of line $q$ ?