G.6.9.3 Using Point-Slope Form
Write an equation that describes each line.
a. the line passing through point (-2, 8) with slope 4/5
b. the line passing through point (0, 7) with slope -7/3
c. the line passing through point (1/2, 0) with slope -1
d. the line in the image:
Using the structure of the equation, what point do you know each line passes through? What’s the line’s slope? a. y - 5 = 3/2(x + 4) b. y + 2 = 5x c. y = -2(x - 5/8)
Here are the equations for all of the lines above:
y = 2
x = 4
y - 2 = 1/3(x - 4)
y - 2 = -1/3(x - 4)
y - 2 = -3(x - 4)
y - 2 = 3(x - 4)
What do you notice?
Consider the line represented by y + 4 = 2/5(x - 9). Write an equation representing a different line with the same slope that passes through the point (3, 6).
Consider the line represented by y + 4 = 2/5(x - 9). Write an equation representing a different line that passes through the same point but has a slope of -3.