Methods for Graphing linear Functions (Part II)
Method 2: GRAPHING LINES USING THE SLOPE & Y-INTERCEPT
Write each of the following equations in the form y = mx + b. Write down the
slope value m and the y-intercept point (0, b). Then use the slope and y-intercept
to draw the graph.
1.
2. 2x + 3y = –6
Slope m = _______
Equation: y =
y-intercept: __________
Slope m = _________
y – intercept: _____________
Do you notice anything about the slant of the two lines that you graphed? This
happens when the lines have the same slope. We say that lines that have the same
slope are ________________.
When you are graphing lines in slope intercept form you
1. Start with the y–intercept.
2. Use the slope to find a 2nd point using rise/run.
3. Draw a line through the points you have found.
Graph each of the following functions on the same graph.
3.
4. 3x - 2y = 6
Slope m = _______
Equation: y =
y-intercept: __________
Slope m = _________
y – intercept: _____________
Do you notice anything about the angle between the two lines at the intersection
point? If so, what do you notice?
Lines whose slopes are negative reciprocals and that cross at 90 degrees are
____________________.