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GRAPHING LINES
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SLOPE-INTERCEPT FORM OF A LINE
Every equation of the form
y = mx + b
graphs as a line with slope m ,
that crosses the y-axis at the point (0,b) .
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EXAMPLES:
Question: Consider the line 2x - 3y + 5 = 0 .
Write the equation in the form y = mx + b .
What is the slope of the line?
What is the y-intercept?
If you start at any point on the line, how could you move to get to another point?
Answer:
slope-intercept form: y = (2/3)x + (5/3)
slope: m = 2/3
y-intercept: b = 5/3
To get to a new point, you could move UP 5 and TO THE RIGHT 3.
Question: Consider the line 2x - 3y + 5 = 0 .
What is the x-intercept? (Give the coordinates.)
What is the y-intercept? (Give the coordinates.)
Answer:
x-intercept: (-5/2,0)
y-intercept: (0,5/3)
On this exercise, you will not key in your answer.
However, you can check to see if your answer is correct.