Questions: The equation written in slope-intercept form is . The slope is . The y-intercept is (Write your answer as an ordered pair.)

Transcript text: The equation written in slope-intercept form is $\square$ . The slope is $\square$ . The $y$-intercept is $\square$ (Write your answer as an ordered pair.)

Solution

Solution Steps

Step 1: Rearrange the equation to the slope-intercept form

To convert the equation from the standard form $Ax + By = C$ to the slope-intercept form $y = mx + b$, we isolate $y$. Starting with $Ax + By = C$, we subtract $Ax$ from both sides to get $By = -Ax + C$. Then, we divide both sides by $B$ to isolate $y$, resulting in $y = -\frac{A}{B}x + \frac{C}{B}$. Substituting the given values $A = 1$, $B = -5$, and $C = -5$, we find the slope-intercept form is $y = 0.2x + 1$.

Step 2: Identify the slope (m) and y-intercept (b)

The coefficient of $x$ in the slope-intercept form represents the slope ($m$), and the constant term represents the y-intercept ($b$). Therefore, the slope ($m$) is 0.2 and the y-intercept ($b$) is 1.