**Q: Find the equation of the line that has the following intercepts:**

x-intercept: 5, y-intercept: -3

Answer: y = 3/5 x – 3

Explanation: The x-intercept is the point (5, 0). The y-intercept is the point (0, -3). Calculate the slope of the line passing through these points:

m= (0- -3)/(5 – 0) = 3/5

Using slope intercept form (y = mx + b), the equation is y = 3/5 x + b. We just need to find *b*. Or do we? We could plug in an ordered pair and solve for *b*, but it’s not necessary. We already have *b*, because in slope-intercept form, *b* always stands for the y-intercept. So, *b* = -3.

The equation is: y = 3/5 x – 3

My TI-84 Plus program ‘LINES’ will find this equation for you, given the two intercepts.

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