Problem

Question

Graph the following features:
- $\mathrm{Y}$-intercept $=-5$
- Slope $=2$

Answer

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Answer

\(\boxed{\text{Final Answer: The graph of the line } y = 2x - 5 \text{ is a straight line that passes through the y-intercept at -5 and has a slope of 2. This means that for every 1 unit increase in x, y increases by 2 units. The line extends infinitely in both the positive and negative directions.}}\)

Steps

Step 1 :The question is asking to graph a line with a y-intercept of -5 and a slope of 2. The equation of a line in slope-intercept form is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. In this case, the equation of the line would be \(y = 2x - 5\).

Step 2 :To graph this line, we can plot the y-intercept and then use the slope to find another point on the line. The slope is the ratio of the vertical change (rise) to the horizontal change (run), so a slope of 2 means that for every 1 unit we move to the right, we move up 2 units.

Step 3 :\(\boxed{\text{Final Answer: The graph of the line } y = 2x - 5 \text{ is a straight line that passes through the y-intercept at -5 and has a slope of 2. This means that for every 1 unit increase in x, y increases by 2 units. The line extends infinitely in both the positive and negative directions.}}\)

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