Objectives 1 Write a linear equation in slopeintercept
Objectives: 1. Write a linear equation in slopeintercept form. 2. Graph a line using slopeintercept form.
Slope – Intercept Form of a Linear Function y = mx+b m = slope b = y-intercept
Write the equation that describes the line in slopeintercept form. 1) 2) slope = ; y-intercept = 4 slope = – 9; y-intercept = 3) slope = 3; y-intercept = 4) slope = ; y-intercept = – 6
Solve for y=mx + b State the slope and y-intercept
Solve for y=mx + b State the slope and y-intercept
Graphing functions from slope intercept form • Steps: 1. Plot the y-intercept (b) 2. Use your slope to plot another point Ø (Think RISE over RUN) 3. Draw a line through the 2 points Slope = FRACTION!!!
IMPORTANT!!! • When “running” ALWAYS MOVE TO THE RIGHT! Positive Slope – Move UP & Right Negative Slope – Move DOWN & Right
Graph the line given the slope and y-intercept. 9) slope = 2, y-intercept = – 3 Equation: 10) slope = 4; y-intercept = -1 Equation:
Graph the line given the slope and y-intercept. 11) Equation: slope = , y-intercept = 1 12) y = 3 x – 1 Equation:
Graph the line given the slope and y-intercept. 13) Equation: 2 y + 3 x = 6 14) y = – 4 Equation:
Writing an equation given the slope (m) and a point (x, y) on that line. STEPS: 1. Plug in the slope given for m. 2. Plug in your x and y values. (y=mx+b) 3. Solve for b using inverse operations. 4. Rewrite your equation as y=mx+b.
Write the equation that describes the line in slope-intercept form. 16) 17) slope = 2; (3, 4) is on the line slope = 8 and (3, – 1) is on the line.
Write the equation that describes the line in slope-intercept form. 18) Slope = -1, (3, 2) is on the line 19) Slope = ½ , (10, 5) is on the line
Write the equation that describes the line in slope-intercept form. 20) Slope = 2, (3, 6) is on the line 21) Slope = -3, (-1, 4) is on the line
Slope-Intercept from 2 points STEPS: 1. Solve for the slope (m) using: 2. Plug in m (y=mx+b) 3. Pick 1 (x, y) point and plug it in (y=mx+b) • It doesn’t matter which one! 4. Solve for b using inverse operations. 5. Rewrite your equation as y=mx+b.
Write the function of a line that passes through the points. 1. (2, 1) and (0, -7) 2. (-6, -6) and (2, -2)
Write the function of a line that passes through the points. 3. (-1, -4) and (6, 10) 4. (3, 4) and (-6, 16)
Write the function of a line that passes through the points. 5. (0, 1) and (5, -6) 6. (4, -12) and (18, 16)
Writing Equations in Slope Intercept Form Common Core Assignment
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