Point-Slope Form (Section 3.5b)
Unless otherwise stated, all equations should be in slope-intercept form.
1. Find an equation of the line through 2. Find an equation of the line through
(-3, -8) with slope -4. (7, - 11 ) and (-28, 4).
Write the equation in slope-intercept form. Write the equation in slope-intercept form.
3. Find an equation of the 4. Find an equation of the horizontal
vertical line through (6, -5). line through (8, 12).
5. Find an equation of the line // 6. Find the equation of a lineto the
to the line x = 5 & passing through (-6, 4). line y = -16 and passing through (12, -4).
7. Find the equation of a line perpendicular to Line 1: and passing through (-9, 8). Graph the original Line 1 and the new line. Label the original line L1 and the new line L2.
8. Find the equation of a line parallel to the line and passing through (-21, -10).
REMEMBER all intercepts are points. Therefore, if an x-intercept of 5 is stated, that is really telling you the point (5, 0). Likewise, a y-intercept of -3 is saying that the point (0, -3) is given.
9. Find the equation in standard form of the line having a slope of and an x-intercept of (18, -4).
10. In 2001, Sam’s Surf Shop items were stocked in 62 stores. In 2010, Sam’s Surf Shop merchandise could be found in 68 stores. Assume the data can be modeled by a linear function.
a. Use ordered pairs (year after 2000, # stores) to represent this data.
b. Find the slope of linear model.
d. Write the equation of the line that
is modeled by this data.