4) 5x = 15 1)find x - intercept 2)find the y - intercept 3)find the slope

4) 5x = 15 1)find x - intercept 2)find the y - intercept 3)find the slope

4) 5x = 15 1)find x - intercept 2)find the y - intercept 3)find the slope

Answer

Explanation:

Step1: Find x - intercept

Set $y = 0$ in the equation $y=-\frac{1}{2}x - 2$. Then $0=-\frac{1}{2}x - 2$. Add 2 to both sides: $2=-\frac{1}{2}x$. Multiply both sides by - 2, we get $x=-4$.

Step2: Find y - intercept

Set $x = 0$ in the equation $y=-\frac{1}{2}x - 2$. Then $y=-\frac{1}{2}(0)-2=-2$.

Step3: Find the slope

The equation is in slope - intercept form $y = mx + b$, where $m$ is the slope. For $y=-\frac{1}{2}x - 2$, the slope $m=-\frac{1}{2}$.

Answer:

  1. The x - intercept is $x=-4$.
  2. The y - intercept is $y = - 2$.
  3. The slope is $m=-\frac{1}{2}$.