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 ... Find two points on the line ... Determine the rise and the run ... Rise 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 … Run Rise Use the value of m to plot a second point … Draw the line through the two points …

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 ...