Q5. - Algebra 1

Question

Graph each equation.

 $\mathbf{-}\mathbf{4}\mathit{x}\mathbf{+}\mathit{y}\mathbf{=}\mathbf{2}$

Step-by-Step Solution

Answer

The graph of the equation is:

Step 1. State the concept of slope-intercept of an equation.

The slope-intercept form of a linear equation is , where $m$ is the slope and $b$ is the $y$-intercept.

Step 2. Write equation of a line in slope-intercept form.

Rewrite the equation $-4x+y=2$ in slope-intercept form.

 

The equation of the straight line is:

 

 $\begin{array}{l}-4x+y=2\\ -4x+y+4x=2+4x\text{ Add 4}x\text{ both sides}\\ y=4x+2\end{array}$

 

The slope is $m=4$ and the $y$-intercept is $(0,2)$.

Step 3. Graph the equation.

To graph the equation, plot the $y$-intercept$(0,2)$. The slope is $\frac{\text{rise}}{\text{run}}=\frac{4}{1}$. From, move up 4 unit and right 1 unit. Plot the point. Draw the line through the two points.