Practice Working with Slope and Equations of  Lines Topic Index | Algebra Index | Regents Exam Prep Center

Try the following problems:

 1 Find the equation of the line that has a slope of 6 and passes through the point (-3,5). Answer Use Point- Slope Form y - 5 = 6 ( x + 3 ) OR y = 6x + 23

 2 Find the slope of the line passing through the points (4,3) and (-5,-2). Answer Use formula for slope: (3-(-2)) / (4-(-5)) = 5 / 9

 3 Find the equation of the line that has a slope of -2 and a y-intercept of -9. Answer Use Slope-Intercept Form y=mx + b y=-2x - 9

 4 Find the equation of the line that passes through the points (3,4) and (-4,6). Answer Use Point-Slope Form First find the slope. (6-4)/(-4-3) = 2/(-7) y - 4 = (2/-7) ( x - 3 )

 5 Find the slope of the line whose equation is y - 3x = 7. Answer Use Slope-Intercept form. Put in "y=" form first. y = 3x + 7 m = 3

 6. Which equation represents the line whose slope is 1 an whose y-intercept is 0? Answer Use Slop-Intercept Form y = mx + b y = 1 x + 0 y = x Answer is Choice a. a)  y = x b)  x = -y c)  y = 1 d)  x = 1

 7. Simon runs on a 5 mile path several times a week.  Since he is just beginning this exercise program, he runs part of the way and walks the rest of the way.  Simon's running speed is 7 mi/hr and his walking speed is 5 mi/hr. Write an equation to represent Simon's exercise program.  The equation should be in slope-intercept form. Answer Let r = running time. Let w = walking time. 7r = the distance Simon runs. 5w = the distance Simon walks. The jog path is 5 miles long. 7r + 5w = 5 Solve this equation for either r or w to put this equation into slope-intercept form. 7r = -5W + 5 r = (-5/7)w + (5/7) ANSWER

 8 Write an equation for a line passing through the points (6, a) and (-2, a). Answer Use Point-Slope Form First find the slope. (a-a)/(6-(-2))= 0/8 = 0 This line is horizontal. y - a = 0 ( x - 6 ) y - a = 0 y = a

 9 Write an equation for a line passing through the points (c, 2b) and (c, 3b). Answer First find the slope. (3b - 2b)/(c - c) = b/0 = undefined This line is vertical. x = c.

 Topic Index | Algebra Index | Regents Exam Prep Center Created by Michael Caldwell