a. Rewrite the equation $5 x+y+3=0$ in slope-intercept form.
b. Give the slope and y-intercept.
c. Use the slope and y-intercept to graph the linear function.
Answer
The equation in slope-intercept form is $y = -5x - 3$. The slope of the line is \(\boxed{-5}\) and the y-intercept is \(\boxed{-3}\).
Step 1 ：Rewrite the equation $5x + y + 3 = 0$ in slope-intercept form by isolating $y$ on one side of the equation. This gives us $y = -5x - 3$
Step 2 ：The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. From the equation $y = -5x - 3$, we can see that the slope of the line is -5 and the y-intercept is -3.
Step 3 ：The equation in slope-intercept form is $y = -5x - 3$. The slope of the line is \(\boxed{-5}\) and the y-intercept is \(\boxed{-3}\).
