Linear Equations in two variables Standard form Slopeintercept

Linear Equations in two variables • Standard form • Slope-intercept form • Point-slope form

Intercepts • x-intercept • The point where the graph intersects the x-axis. • y-intercept • The point where the graph intersects the y-axis.

Finding the intercepts • Find the x-intercept • Set y = 0 • Solve for x • (x, 0) • Find the y-intercept • Set x = 0 • Solve for y • (0, y)

Horizontal and Vertical lines • The equation of a horizontal line is given by. . . • The equation of a vertical line is given by. . .

Slope • The slope of a line is given by. . .

Slope of a line • Horizontal line. . . • Vertical line. . . • Rising line. . . • Falling line. . .

Find the slope of a line. . . • given two points. . .

Find the slope of a line. . . • given an equation. . . • First put the equation in slope-intercept form. . . • The coefficient of x is the slope.

Find the slope of a line. . . • given a graph. . . Rise Run • Find two points on the line. . . • Determine the rise and the run. . .

Graph the line using the slope-intercept method … • Put the equation of the line in slope-intercept form … • Use the value of b to plot the y-int … • Use the value of m to plot a second point … • Draw the line through the two points … Run Rise

Graph the line using the intercept method … • Determine the x-intercept and plot it … • Determine the y-intercept and plot it … • Draw the line through the two points …

Parallel and Perpendicular lines • The slopes of parallel lines are. . . • The slopes of perpendicular lines are. . .

Rate of change • The rate of change of y with respect to x on a line is given by. . .