Question

follow the steps below and answer the questions. rewrite y - 2 = $\frac{3}{5}$(x + 4) in standard form. we often write linear equations in one of three forms. select form: y = mx + b select form: y - y1 = m(x - x1) select form: ax + by = c point - slope slope - intercept standard

Explanation:

Step1: Expand the right - hand side

$y - 2=\frac{3}{5}(x + 4)=\frac{3}{5}x+\frac{12}{5}$

Step2: Move the $x$ and $y$ terms to one side

$y-\frac{3}{5}x=2 + \frac{12}{5}$

Step3: Get a common denominator and simplify the right - hand side

$y-\frac{3}{5}x=\frac{10 + 12}{5}=\frac{22}{5}$

Step4: Multiply through by 5 to clear the fraction

$5y-3x = 22$

Step5: Rearrange to the standard form $Ax+By = C$ with $A\geq0$

$3x-5y=- 22$

Answer:

$3x - 5y=-22$