Question

B. Find the Slope and the equation of the line. Use the equation of a line: Slope= Equation=

Answer 1

• Slope=3

,

• Equation: y=3x

Step-by-step explanation:

The given line passes through points (1,3) and (0,0).

`\begin{gathered} \text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =(3-0)/(1-0) \\ =(3)/(1) \\ m=3 \end{gathered}`

The equation of a line is given in the form:

`\begin{gathered} y=mx+b \\ m=\text{slope} \\ \text{b}=y-\text{intercept} \end{gathered}`

The line crosses the y-axis at y=0, therefore:

• y-intercept, b=0

The equation of the line is:

`\begin{gathered} y=mx+b \\ y=3x+0 \\ y=3x \end{gathered}`