line cd passes through points c(3, -5) and d(6, 0). what is the equation of line cd in standard form?\no 5x…

Answer:

B. $5x - 3y=30$

Explanation:

Step1: Find the slope $m$

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0-\left(-5\right)}{6 - 3}=\frac{5}{3}$

Step2: Use point - slope form

Using point $D(6,0)$ and $m = \frac{5}{3}$, the point - slope form is $y - y_1=m(x - x_1)$, so $y-0=\frac{5}{3}(x - 6)$.

Step3: Convert to standard form

$y=\frac{5}{3}(x - 6)$; multiply through by 3 to get $3y = 5(x - 6)$; expand to $3y=5x-30$; then rearrange to $5x - 3y=30$.