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# Writing Linear Equations in Slope-Intercept or Standard Form Guided Notes **Slope-Intercept Form** 1. a) What is slope-intercept form? `y = mx + b` b) In this equation, m is the _slope_ and b is the _y-intercept_. c) On a graph, where is the y-intercept located? The y-intercept is loca...

# Writing Linear Equations in Slope-Intercept or Standard Form Guided Notes **Slope-Intercept Form** 1. a) What is slope-intercept form? `y = mx + b` b) In this equation, m is the _slope_ and b is the _y-intercept_. c) On a graph, where is the y-intercept located? The y-intercept is located where the line crosses the y-axis. d) Label the y-intercept on the graph to the right. What are the coordinates? The y-intercept is (0, -2). e) Can you write the equation of this line in slope-intercept form? `y = (3/2)x - 2` **2. Standard Form** a) What is standard form? `Ax + By = C` b) Does standard form show the slope, m? No. c) Does standard form show the y-intercept, b? No. d) Does standard form show a point on the line (x₁, y₁)? No. e) Re-write the equation 2x + 5y = 10 into slope-intercept form. `y = (-2/5)x + 2` **3. Point-Slope** On the Algebra 1 EOC, you will NOT be shown the y-intercept, so we always write linear equations in point-slope form FIRST, then rearrange it to get other forms. **Example 1: To get slope-intercept form** Solve for `y - 4 = 3(x + 2)` 2 steps: 1) Distribute 2) Isolate "y" y = 3x + 10 (slope-intercept form) **Example 2: To get standard form** Get the x and y terms on the left side of = sign. `y = 3x + 10` `-3x + y = 10` (standard form)