question graph the line with the equation y = -\\frac{1}{5}x - 3.

question graph the line with the equation y = -\\frac{1}{5}x - 3.

question graph the line with the equation y = -\\frac{1}{5}x - 3.

Answer

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. Here, $b=-3$, so the line crosses the y - axis at the point $(0, - 3)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=-\frac{1}{5}x - 3$. Add 3 to both sides: $3=-\frac{1}{5}x$. Multiply both sides by - 5 to solve for $x$, we get $x=-15$. So the line crosses the x - axis at the point $(-15,0)$.

Step3: Plot the points and draw the line

Plot the points $(0, - 3)$ and $(-15,0)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Graph the line passing through the points $(0, - 3)$ and $(-15,0)$ on the given coordinate grid.