Watch Video on Slope Intercept Form – Algebra Help
Saturday, February 27th, 2010
Access full lesson containing this video at: http://www.yourteacher.com/algebra1/slopeinterceptform.php Students learn to use slope-intercept form to graph a line. Slope-intercept form is y = mx + b form, where m represents the slope, and b represents the y-intercept. So if the equation of a line is y = 3/4 x — 2, then the line is written in y = mx + b form, with m = 3/4 and b = -2. To graph the line, start with the y-intercept, or b, of –2. From there, take the slope, or m, of 3/4, plot a second point, and graph the line.
Duration : 0:2:4
Access full lesson containing this video at: http://www.yourteacher.com/algebra2/pointslopeform.php Students learn to write the equation of a line given a point on the line and the slope of the line, by using the point-slope formula, which states that given a point (x1, y1) and a slope m, the equation of the line can be written as y – y1 = m(x – x1). For example, if a line passes through the point (3, -2), and has a slope of 4, its equation can be written: y + 2 = 4(x – 3). From here, the equation can be converted to either slope-intercept or standard form. Note that a horizontal line passing through a given point has the equation y = the y-coordinate of the given point, and a vertical line passing through a given point has the equation x = the x-coordinate of the given point.