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5.1 Writing Equations in Slope Intercept Form

Learn how to write equations using slope and y-intercept. Understand the process to find equations from slopes and points on a line. Practice with examples and step-by-step solutions.

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5.1 Writing Equations in Slope Intercept Form

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  1. 5.1 Writing Equations in Slope Intercept Form • DO NOW: • 1) Identify the Slope and Y-INT: • y = -3x + 5 • Find the slope: (-2, 3) and (4, -1) • 3) Which point is consider the y-intercept? • (3, 0) (-1, 4) (0, 1)

  2. Important!!! Remember: Slope – Intercept Form y = mx + b m represents the slope b represents the y-intercept When asked to write an equation, you need to know two things – slope (m) and y-intercept (b).

  3. Writing Equations There are three types of problems you will face: You will have to write the equation of the given: Slope and y-intercept Slope and any point Two Points

  4. Writing Equations – Type #1 2 6 Write an equation in slope-intercept form of the line that has a slope of 2 and a y-intercept of 6. To write an equation, you need two things: slope (m) = y – intercept (b) = We have both!! Plug them into slope-intercept form y = mx + b y = 2x + 6

  5. Write the equation of a line that has a y-intercept of -3 and a slope of -4. • y = -3x – 4 • y = -4x – 3 • y = -3x + 4 • y = -4x + 3

  6. Writing Equations – Type #2 3 ??? Write an equation of the line that has a slope of 3 and goes through the point (2,1). To write an equation, you need two things: slope (m) = y – intercept (b) = We have to find the y-intercept!! Plug in the slope and ordered pair into y = mx + b 1 = 3(2) + b

  7. Writing Equations – Type #2 1 = 3(2) + b Solve the equation for b 1 = 6 + b -6 -6 -5 = b To write an equation, you need two things: slope (m) = y – intercept (b) = y = 3x - 5 3 -5

  8. Writing Equations – Type #3 Write an equation of the line that goes through the points (-2, 1) and (4, 2). To write an equation, you need two things: slope (m) = y – intercept (b) = We need both!! First, we have to find the slope. Plug the points into the slope formula. Simplify ??? ???

  9. Writing Equations – Type #3 Write an equation of the line that goes through the points (-2, 1) and (4, 2). To write an equation, you need two things: slope (m) = y – intercept (b) = It’s now a Type #2 problem. Pick one of the ordered pairs to plug into the equation. Which one looks easiest to use? I’m using (4, 2) because both numbers are positive. 2 = (4) + b ???

  10. Writing Equations – Type #3 2 = (4) + b Solve the equation for b 2 = + b To write an equation, you need two things: slope (m) = y – intercept (b) =

  11. Write an equation of the line that goes through the points (0, 1) and (1, 4). • y = 3x + 4 • y = 3x + 1 • y = -3x + 4 • y = -3x + 1

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