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SWBAT… Write and graph lines in slope-intercept form Mon, 11/14
Agenda1. WU (10 min)2. Video on graphing (5 min)3. Graphing lines (10 min)4. Writing equations of lines in slope-intercept form
Step 2: Look at the Step 2: Look at the y-intercepty-intercept and and plot plot where the graph crosses the y-axis.where the graph crosses the y-axis.
Step 3: Use the Step 3: Use the slopeslope (rise/run) to determine (rise/run) to determine the next point and the next point and plot.plot. Slope = 2/3 = Slope = 2/3 = 22//33Step 4: Draw a line Step 4: Draw a line through both points. through both points. Be sure to extend the Be sure to extend the line and put arrows at line and put arrows at both ends. (Use a both ends. (Use a ruler!)ruler!)
y = 2/3x + 2 y
x
Step 5: Label your lineStep 5: Label your line
Step 1: Solve for yStep 1: Solve for y y = 2/3x + 2
1 2 3 4 5
1
2
3
4
5
-1
-2
-3
-4
-5
-1-2-3-4-5 0
Step 2: Look at the Step 2: Look at the y-intercepty-intercept and and plot plot where the graph crosses the y-axis.where the graph crosses the y-axis.
Step 3: Use the Step 3: Use the slopeslope (rise/run) to determine (rise/run) to determine the next point and the next point and plot.plot. Slope = 2 = Slope = 2 = 22//11Step 4: Draw a line Step 4: Draw a line through both points. through both points. Be sure to extend the Be sure to extend the line and put arrows at line and put arrows at both ends. (Use a both ends. (Use a ruler!)ruler!)
y = 2x + 1
x
y
Step 5: Label your lineStep 5: Label your line
Step 1: Solve for yStep 1: Solve for y
1 2 3 4 5
1
2
3
4
5
-1
-2
-3
-4
-5
-1-2-3-4-5 0
Step 2: Look at the Step 2: Look at the y-intercepty-intercept and and plot plot where the graph crosses the y-axis.where the graph crosses the y-axis.
Step 3: Use the Step 3: Use the slopeslope (rise/run) to determine (rise/run) to determine the next point and the next point and plot.plot. Slope = -1 = -Slope = -1 = -11//11Step 4: Draw a line Step 4: Draw a line through both points. through both points. Be sure to extend the Be sure to extend the line and put arrows at line and put arrows at both ends. (Use a both ends. (Use a ruler!)ruler!)
y = -x – 2
y
x
Step 5: Label your lineStep 5: Label your line
Step 1: Solve for yStep 1: Solve for y
Write the equation of the line, in slope-intercept form, that passes through (3, 5) and (5, 9)
m = (y2-y1)/(x2-x1)Step 1: Find the slopem = (9-5)/(5-3) = 4/2 = 2
Step 2: Plug in either coordinate into y = mx + b and solve for b
Step 3: Write the equation of the line by substituting the values you computed for m (step 1) and b (step 2) in y = mx + b
y = 2x – 1
(3, 5) (5, 9)y = mx + b y = mx+b
5 = 2(3) + b OR 9 = 2(5) + b5 = 6 + b 9 = 10 + b-1 = b -1 = b
Besides (3, 5) and (5, 9), what’s another point on this line? Hint: b=-1(0, -1)
Ex1:Write the equation of the line, in slope-intercept form, that passes through (3, 5) and (5, 9)
m = (y2-y1)/(x2-x1)Step 1: Find the slopem = (9-5)/(5-3) = 4/2 = 2
Step 2: Plug in either coordinate into y = mx + b and solve for b
Step 3: Write the equation of the line by substituting the values you computed for m (step 1) and b (step 2) in y = mx + b
y = 2x – 1
(3, 5) (5, 9)y = mx + b y = mx+b
5 = 2(3) + b OR 9 = 2(5) + b5 = 6 + b 9 = 10 + b-1 = b -1 = b
SWBAT… Write equations in slope-intercept form Tues, 1/4
equation of the line that satisfies each condition:
1.) Has slope 3 and y-intercept -52.) Passes through (5, -7) and has a slope of 33.) Passes through (6, -3) and (12, -3)4.) Has an x-intercept of -2 and a y-intercept of