Transcript Point-Slope Form PowerPoint

Integrated Mathematics
Objectives
The student will be able to::
1. graph linear equations.
2. write equations in pointslope form.
The x-intercept is
where the graph
crosses the x-axis.
The y-coordinate is
always 0.
The y-intercept is
where the graph
crosses the y-axis.
The x-coordinate is
always 0.
(2, 0)
(0, 6)
1.
Plot the y-intercept.
2.
Use the slope to find new points on
the graph.
3.
Connect the points with a straight
line.

Ex.1) Graph the linear equation with y-intercept
of (0,5) and m = 2.

Ex.2) Graph the linear equation with y-intercept
of (0,2) and m = -3.
𝒚 = 𝒎𝒙 + 𝒃
m = slope
b = y-intercept

Ex.3) Graph the following linear equation:
𝑦 = −3𝑥 + 2

Ex.4) Graph the following linear equation:
𝑦 = 4𝑥 − 3

Ex.5) Graph the following linear equation:
3
𝑦= 𝑥
7
𝒚 − 𝒚𝟏 = 𝒎(𝒙 − 𝒙𝟏 )
m = slope
(𝒙𝟏 , 𝒚𝟏 ) = point
Contains (3, 2); m = 4
Contains (- 3, - 5); m = - 4
1. m = 3; (3, 2)
2. m = -2; (-5, 4)
3. m = -1; (-1, 7)
4. m= 0; (3, 9)
1.
𝑦2 −𝑦1
m=
𝑥2 −𝑥1
2. 𝒚 − 𝒚𝟏 = 𝒎(𝒙 − 𝒙𝟏 )
Contains (2,3) and (1, -4)
Contains (-1, 3) and (4, -7 )
1. Contains (5, –7), (3, 2)
2. Contains (3, 0), (-5, 4)
3. Contains (-1, 7), (6, 4)
4. Contains (9 ,4), (3, 9)