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Published byEvelyn Archer Modified over 3 years ago

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Warm up Write the equation of the line passing through the given point with the given slope. Then graph the line. 1. (-4, -3), m = 2. (8, 2), m =

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answers Y= ½ x – Y= -½ x + 6

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**How do we use Two Points to Write an Equation?**

Step 1: Find the slope. Step 2: Use one of the points and your slope to solve for b. Step 3: Write your equation in slope-intercept form using slope and y-intercept

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Example Write an equation for the line through these points. (-1,-5) and (-2, 3).

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**Your Turn: Write an equation for the line through these points.**

(1, 3) and (-1, -1) (-1, 6) and (7, -10) (10, -1) and (4, 2) (-14, -2) and (7, 7)

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**Write an equation of the line that has each pair of intercepts**

x-intercept: (-3,0), y-intercept: (0,6)

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Your Turn: Write an equation of the line that has an x-intercept of (2,0) and a y-intercept of (0,-5).

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**Part 2: How do write an equation using a table?**

Step 1: Find the rate of change. (change in Y over change in X) Step 2: Use either point and your slope to solve for b. Step 3: Write your equation in slope-intercept form using slope and y-intercept X Y -1 4 3 6 5 7 11 10

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Your Turn: Write in slope-intercept form. X Y -11 -7 -1 -3 4 19 5

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**Review Key Concepts Slope-intercept Form Y = mx + b Standard Form**

Ex. Y=-½x + 5 Standard Form Ax + By = C Ex. 2x + 3y= 5

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Summary: Name the steps for writing an equation from two points?

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Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

Point slope form of an equation Y - y₁ = m(X- x₁) (x₁, y₁) An ordered pair on the line m slope.

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