In a graph, the intercepts are the points where a graph crosses the x or y axis.
- For any graph, what do you know about the point where the graph crosses the y-axis?
- For any graph, what do you know about the point where the graph crosses the x-axis?
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Can you identify the x and y intercepts in this table? |
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| The equation of this line in standard form is: \(2x+3y=6\) How can you use the equation to find the x and y intercepts? |
Jenny was mixing various amounts of red and yellow paints to get a variety of shades of orange as shown in the graph. To make the color redder she uses up to 2 cups of red, to make it yellower she uses up to 3 cups of yellow. What would the x and y intercepts represent in this situation? |
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| What is the slope of this line? Can you find it from each of the representations? |
What is the slope-intercept form of this line? How can you find the x and y-intercepts using this equation? | ||||||||||||
| In another situation, you are given two points on a line: \((32,\,12)\) and \((4,\,34)\). What are the intercepts of this line? |
A line has x-intercept \((15,\,0)\) and slope \(-\Large \frac{3}{5}\). Find an equation for this line. |