Question

Consider the following linear equation.y = -1-Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce allfractions to lowest terms.

Answer 1

Recall that a slope-intercept form of a linear equation is

$\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}$

Rearrange the given so that it follows that slope intercept form

$\begin{gathered} y=-1-\frac{2}{5}x\Longrightarrow y=-\frac{2}{5}x-1 \\ \\ \text{Now that it is in the slope intercept form} \\ y=-\frac{2}{5}x-1 \\ \text{we can determine that the slope is } \\ m=-\frac{2}{5} \\ \text{and the y-intercept is} \\ b=-1 \end{gathered}$

The y-intercept is the value for which the linear function crosses the y-axis, this is when the value of x is equal to zero. The ordered pair therefore of the y-intercept is (0,-1).