Questions: Graph the equation -5x-2y=-11 by plotting points using the line tool.

Solution Steps

To graph the equation, we first need to rewrite it in the slope-intercept form, \( y = mx + b \).

Starting with the given equation: \[ -5x - 2y = -11 \]

Solve for \( y \): \[ -2y = 5x - 11 \]

Divide every term by \(-2\): \[ y = -\frac{5}{2}x + \frac{11}{2} \]

From the equation \( y = -\frac{5}{2}x + \frac{11}{2} \), we can identify:

• The slope \( m = -\frac{5}{2} \)
• The y-intercept \( b = \frac{11}{2} \)

To graph the line, we can use the y-intercept and the slope:

1. Start at the y-intercept \((0, \frac{11}{2})\).
2. Use the slope to find another point. From \((0, \frac{11}{2})\), move down 5 units and right 2 units to reach the point \((2, \frac{1}{2})\).

Final Answer