Download Worksheet: 3.4 Graphing lines using equations are in slope

Worksheet: 3.4
Graphing lines using equations are in slope-intercept form
1. If necessary, rewrite the equation in the form
y = mx+ b.
2. Plot the y-intercept, (0,b).
3. From here, use the slope as “directions” to
plot a second point.
4. Connect the points.
Graph each line.
1. y = −2x + 1
2. y = 34 x − 3
3. 2x +4y = 8
4. 8x − 2y = 4
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To Graph a line when you know a point and its slope.
1. Plot the point.
2. From here, use the slope as “directions” to get to a second point.
3. Connect the points.
To get an equation in slope-intercept form given a point on the line and its slope:
1. Write the general equation for slope-intercept form of a line: y = mx + b.
2. Plug in the slope and the x and y-values of the point.
3. Solve for b. WARNING!! Don’t stop here!! The answer is not the number b, but the
equation you’ll get in step 4.
4. Write the equation y = mx + b; this time keep x and y as variables, but plug in the
values for m and b.
Graph each line and write its equation in slope-intercept form.
1. The line through (2, −1) whose slope is −2.
2. The line through (−3, 2) whose slope is 23 .
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