Find an equation of the line with the given slope that passes through the given point. Write the equation in the form
Ax + By = C.
-m = $- \frac { 4 } { 9 }$ ; ; (5, 2)
A)4x + 9y = 38
B)9x + 4y = -38
C)4x - 9y = 38
D)4x + 9y = -38

Question

Quizplus · Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given $m = -\frac{4}{9}$ and the point (5, 2), we substitute these values into the slope-intercept form to find $b$. $2 = -\frac{4}{9}(5) + b$, solving for $b$ gives $b = \frac{38}{9}$. Converting this into the form $Ax + By = C$, we multiply everything by 9 to clear the fraction: $9(2) = -4(5) + 38$, which simplifies to $4x + 9y = 38$.

Find an Equation of the Line with the Given Slope −49- \frac { 4 } { 9 }−94​

Find an Equation of the Line with the Given Slope $- \frac { 4 } { 9 }$