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# Gr10 writing linear equations

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### Gr10 writing linear equations

1. 1. Writing Linear Equations Using Slope Intercept Form
2. 2. Slope-Intercept Form <ul><li>y = mx + b (c) [or f ( x ) = mx + b ] </li></ul><ul><li>m is the slope/gradient </li></ul><ul><li>b/c is the y -intercept </li></ul>
3. 3. Find the Equation of the Line <ul><li>What is the </li></ul><ul><li>y -intercept? </li></ul><ul><li>b = -2 </li></ul><ul><li>What is m ? </li></ul><ul><li>m = </li></ul><ul><li>y = x -2 </li></ul>x y
4. 4. Find the Equation of the Line <ul><li>b = ? </li></ul><ul><li>b = 1 </li></ul><ul><li>m = ? </li></ul><ul><li>m = - </li></ul><ul><li>y = - x + 1 </li></ul>x y
5. 5. Find the Equation of the Line <ul><li>b = ? </li></ul><ul><li>b = 4 </li></ul><ul><li>m = ? </li></ul><ul><li>m = 0 </li></ul><ul><li>y = 0 x + 4 </li></ul><ul><li>y =4 </li></ul>x y
6. 6. Find the Slope and y-intercept of each Equation: <ul><li>1) y = -4 x + 3 </li></ul><ul><li>m = -4 </li></ul><ul><li>b = 3 </li></ul><ul><li>2) y = 5 - x </li></ul><ul><li>m = - </li></ul><ul><li>b = 5 </li></ul><ul><li>3) 8 x + y = </li></ul><ul><li>m = -8 </li></ul><ul><li>b = </li></ul><ul><li>4) 4 x - 2 y = 10 </li></ul><ul><li>m = 2 </li></ul><ul><li>b = -5 </li></ul>
7. 7. Find the Equation Given the Slope and y -intercept <ul><li>1) m = -3, b = 1 </li></ul><ul><li>y = -3 x + 1 </li></ul><ul><li>2) m = - , b = -4 </li></ul><ul><li>y = - x - 4 </li></ul>
8. 8. Find the Equation Given the Slope and a Point <ul><li>Given m = -1, (2, 1) </li></ul><ul><li>First, calculate b by substituting the slope and the coordinates into y = mx + b. </li></ul><ul><li>y = -1 x + b </li></ul><ul><li>1 = -1(2) + b </li></ul><ul><li>1 = -2 + b </li></ul><ul><li>3 = b </li></ul><ul><li>y = -1 x + 3 </li></ul>
9. 9. Write the equation. <ul><li>gradient = 2, passes through (-4, 6) </li></ul><ul><li>slope = -3/2, passes through (5, 3) </li></ul>
10. 10. Find the Equation Given Two Points <ul><li>Given (-1, 3) and (2, 1) </li></ul><ul><li>First, calculate the slope: </li></ul><ul><li> Second, find b . Use either point... </li></ul><ul><li>m = , (2, 1) </li></ul><ul><li>1 = (2) + b </li></ul><ul><li>1 = + b </li></ul><ul><li> </li></ul><ul><li> = b </li></ul>
11. 11. Write the equation <ul><li>passes through (6, 1) and (8, -4) </li></ul><ul><li>Passes through (-3, 5) and (2, 2) </li></ul>