Tamara is analyzing a line that passes through the point (−5,3) and has a slope of −1 . How should she write the equation of the line in slope-intercept form?(1 point) Responses y=x−1 y equals x minus 1 y=−x−5 y equals negative x minus 5 y=−x+3 y equals negative x plus 3 y=−x−2

Answer 1

To write the equation of a line in slope-intercept form $y=mx+b$, you need the slope $m$ and the y-intercept $b$.

Given:

• Point: $(-5,3)$
• Slope: $-1$

1. Start with the slope-intercept form: $$y=mx+b$$ Substitute the slope $m=-1$: $$y=-x+b$$

2. Now, use the point $(-5,3)$ to find $b$: Substitute $x=-5$ and $y=3$: $$3=-(-5)+b$$ $$3=5+b$$ Solving for $b$: $$b=3-5$$ $$b=-2$$

3. Now, substitute back to get the equation of the line: $$y=-x-2$$

So the correct response is: $$y=-x-2$$