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Writing Linear Equations Slope – Intercept form Review: Slope Formula y2 y1 m x2 x1 Review: X and Y- intercepts • The x-intercept of a graph is the point where the graph crosses the x-axis. • The y-intercept of a graph is the point where the graph crosses the y-axis. • Example: x-intercept = (3, 0) y-intercept = (0, 1) Slope – Intercept Form y = mx + b m represents the slope b represents the y-intercept To find the slope and y-intercept of an equation, write the equation in slope-intercept form: y = mx + b. Find the slope and y-intercept. 1) y = 3x – 7 y = mx + b Find the slope and y-intercept. 2 2) y = x 3 y = mx + b 2 y= x+0 3 3) y = 5 y = mx + b y = 0x + 5 Find the slope and y-intercept. 4) 5x - 3y = 6 Find the slope and y-intercept. 5) 2y + 2 = 4x Find the slope and y-intercept of y = -2x + 4 Writing Equations When asked to write an equation, you need to know two things – slope (m) and y-intercept (b). There are three types of problems you will face. Step 1 – find m Step 2 – find b Step 3 – write the equation Writing Equations – Type #1 Write an equation in slope-intercept form of the line that has a slope of 2 and a y-intercept of 6. EXAMPLE • Write an equation in slope-intercept form of the line that has a slope of -3 and a yintercept of -4. Write the equation of a line that has a y-intercept of -3 and a slope of -4. Writing Equations – Type #2 Write an equation of the line that has a slope of 3 and goes through the point (2,1). EXAMPLE • Write an equation of the line that has a slope of -2 and goes through the point (3,-4). Writing Equations – Type #3 Write an equation of the line that goes through the points (-2, 1) and (4, 2). Writing Equations – Type #3 EXAMPLE • Write an equation of the line that goes through the points (-2, 5) and (4, 8). Write an equation of the line that goes through the points (0, 1) and (1, 4).