3.6 Lines in the Coordinate Plane Target: Graph lines and write equations in slope-intercept form and point-slope form

Warm up: Use what you learned yesterday to complete the examples with your partner.

Example 1 Example 2

Given: LE AF with L(-4, 3), E(0, -5), Given: If LI NE with L(2, 1), I(-3, 0),

A(x, 4) and F(7, 1). N(4, 4) and E(3, y) .

Find: The value of x. Find: The value of y.

New Stuff:

Slope-Intercept Form:

Given Slope and a Point on the line, write the equation in Slope - Intercept Form.

Ex 1: m = -3 and (2, 4) Ex 2: (4, 2) and (-4, -6)

Point-Slope Form:

Given two points on the line, write the equation in Point – Slope form.

Ex 3: m = 2 and (-3, -5) Ex 4: (2, -6) and (-3, 4)

Ex 5: Write the equation of a line with an x-intercept of 4 and a y-intercept of 3. Write the equation in

slope-intercept form and point-slope form.

Parallel, Perpendicular, or Intersection Lines:

Are the two lines Parallel, Perpendicular, or Neither?

Ex 6: -4y + 20 = x Ex 7: -16 + 4y = 8x

3y = 12x – 6 -y = -2x + 6

3.6 Day 2 Lines in the Coordinate Plane

Example 1: Write the equation of the line through (4, -3)

with a slope of 2 in point-slope form.

Practice writing the equation in Slope-Intercept Form, then graph.

Example 2: Given the equation of the line and point P not on the line, find the equation of a line parallel

to the given line and a line perpendicular to the given line through the given point.

y= 3x+7, P(2, 3)

Performance Task:

If a four sided figure has 4 right angles and 4 congruent sides, then the figure is a square.

Prove that ABCD is a square if A(-3, -2), B(-1, 7), C(8, 5) and D(6, -4).

Point Slope Form: Slope Intercept Form:

Magnet Practice: Solve each problem and show work here!