Q2. - Algebra 1

Question

Write an equation of a line in slope-intercept form with the given slope and $\mathit{y}$-intercept. Then graph the equation.

Slope: -5, $\mathit{y}$-intercept: 3

Step-by-Step Solution

Answer

The equation in slope-intercept form is $\mathit{y}\mathbf{=}\mathbf{-}\mathbf{5}\mathit{x}\mathbf{+}\mathbf{3}$ and the graph of the equation is:

Step 1. State the concept of standard form of an equation.

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

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

To find the equation of a line in slope-intercept form substitute $-5$ for $m$ and 3 for $b$ in the equation $y=mx+b$.

 The equation of the straight line is:

$\begin{array}{l}y=mx+b\\ y=-5x+3\end{array}$

Step 3. Graph the equation.

Plot this equation on the Cartesian plane.

Therefore, the equation of the straight line is $y=-5x+3$ and the graph of the equation is drawn above.