Question

question 1-7
select all the equations below that have a slope of -5.
□ $y = 2x - 5$
□ $y = -5x + 2$
□ $y = 10 - 5x$
☑ $y = -\frac{10}{2}x - 5$
□ $y = 5x + 5$

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step2: Analyze each equation

• For \(y = 2x-5\): Comparing with \(y=mx + b\), \(m = 2\), so the slope is 2.
• For \(y=-5x + 2\): Comparing with \(y = mx + b\), \(m=-5\), so the slope is - 5.
• For \(y = 10-5x\), we can rewrite it as \(y=-5x + 10\). Comparing with \(y=mx + b\), \(m=-5\), so the slope is - 5.
• For \(y=-\frac{10}{2}x-5\), simplify \(-\frac{10}{2}=-5\), so the equation becomes \(y=-5x - 5\). Comparing with \(y=mx + b\), \(m = - 5\), so the slope is - 5.
• For \(y = 5x+5\): Comparing with \(y=mx + b\), \(m = 5\), so the slope is 5.

Answer:

The equations with a slope of - 5 are:

• \(y=-5x + 2\)
• \(y = 10-5x\)
• \(y=-\frac{10}{2}x-5\)