What is the answer to y= -2/3x-1

Mathematics

1 answer:

Ivenika [448]4 years ago

4 0

Okay, standard form is Ax + By = C, where A is non-negative. This equation is in slope-intercept form (y = mx +b)

To get this equation from slope-intercept from to standard form, we must first get rid of the fraction -2/3. To do that, multiply each term in the equation by -3:

(y = -2/3x - 1)-3

-3y = 6/3x +3 (distribute the -3 to all terms)

-3y = 2x + 3 (simplify 6/3)

-2x - 3y = 3 (subtract 2x from both sides to get x and y terms on the same side)

2x + 3y = -3 (divide the entire equation by -1)

That's my final answer. Hope this helps.

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Given

Given

$\begin{gathered} points \\ (0,0)\text{ and }(15,3) \end{gathered}$ SolutionStep 1Find slope $Slope\text{ \lparen M\rparen=}\frac{y_2-y_1}{x_2-x_1}$ $\begin{gathered} x_1=0 \\ y_1=0 \\ x_2=15 \\ y_2=3 \end{gathered}$

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$Slope(m)=\frac{3-0}{15-0}=\frac{3}{15}=\frac{1}{5}$ step 2Equation of a line $\begin{gathered} y=mx+b \\ m=\frac{1}{5} \\ x=0 \\ y=0 \\ \end{gathered}$ $\begin{gathered} 0=0(\frac{1}{3})+b \\ b=0 \end{gathered}$ Step 3 $y=\frac{1}{5}x$ The final answerOption B