a. What is this line’s slope angle? That is, what is the acute angle the line makes with the x-axis?
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HINT: Find two points on the line that intersect at lattice points such as (0, 1) and (1, 4) and make a slope triangle. Then use the TAN function to find the angle. (Click the circle at left to view the slope triangle.)
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b. Find the equation of a new line that has a slope angle of 45° and passes through the point (0, 3). Assume that the slope is positive.
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HINT: Points on a line with a slope angle of 45° have a slope of 1 when it is positive. Use y = mx + b to find the equation of this line.
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c. Find the intersection of these two lines using any method. Write your solution as a point in the form (x, y).
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