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The equation of a line can be written in a form that makes the slope obvious and allows you to draw the line without any computation. If students are comfortable with solving a simple two-step linear equation, they can write linear equations in slope-intercept form. The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis. You can draw the line for an equation matching this linear formula by plotting (0,b), then using m to find another point. For example, if m is 1/2, you can interpret that as a difference in 1 among y coordinates for every difference in 2 among x coordinates (that is, (y2 – y1)/(x2 – x1) = 1/2). Count +2 on the x-axis, then +1 on the y-axis to get to another point: (2, b + 1).
Jennifer Prescott Jennifer Prescott Rebecca Salinas |