Lesson 5.1 Write Equations in Slope-Intercept Form.

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Objective - To graph linear equations using the slope and y-intercept.

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Lesson 5.1 Write Equations in Slope-Intercept Form

Write 3x + 4y = 24 in slope-intercept form: Remember slope- intercept form is y = mx + b 3x + 4y = 24 -3x -3x 4y = -3x y = - 3 / 4 x + 6

What is the slope? -¾ What is the y-intercept? 6 Write the equation of a line whose slope is - 3 / 4 and whose y-intercept is 6. Start with the formula: y = mx + b Substitute in your values. y = - 3 / 4 x + 6

Try it again… Write the equation of a line whose slope is -2 and whose y-intercept is -5. y = -2x – 5 Write the equation of a line whose slope is 9 and whose y-intercept is 1. y = 9x + 1 Write the equation of a line whose slope is - 2 / 7 and whose y-intercept is -8. y = - 2 / 7 x - 8

Study the graph below. Write the equation of this line in slope-intercept form What is the slope? What is the y-intercept? Up 4 over 2 = 4/2 = The equation of this line is: y = 2x + 6

Study the graph below. Write the equation of this line in slope-intercept form What is the slope? What is the y-intercept? -2 The equation of this line is: y = -x - 2