do now find the slope of the line passing through the given points. 1)( 3, – 2) and (4, 5) 2)(2,...
TRANSCRIPT
Do NowFind the slope of the line passing through the
given points.
1) ( 3, – 2) and (4, 5)
2) (2, – 7) and (– 1, 4)
What is the slope of a horizontal line?
The line doesn’t rise!
m 0
number0
All horizontal lines have a slope of 0.
What is the slope of a vertical line?
The line doesn’t run!
All vertical lines have an undefined slope.
m number
0undefined
Find the slope of the line passing through the two given points.
1) (-3,5) and (-3,1)
2) (4, 6) and (1,6)
The line passing through the points (2, 8) and (6, k)
has a slope of . Find k. 4
1
The line passing through the points (5, – 8) and (3, a)
has a slope of 4. Find a.
Slope – Intercept Form
y = mx + b
m represents the slope of the lineb represents the y-intercept
The y-intercept is the point where the line crosses the y-axis.
Write a slope-intercept equation of the line with the given slope and y-intercept.
1) m = 2, b = – 3
2) m = – 4, b = 5
3) m = , b = 04
1
4) Write the equation of a line that has a y-intercept of -3 and a slope
of -4.1. y = -3x – 4
2. y = -4x – 3
3. y = -3x + 4
4. y = -4x + 3
Find the slope and y-intercept for each line.
5) y = 4x – 1
6) y = – x + 3
7) y = 2x – 5
8) Find the slope and y-intercept of y = -2x + 4
1. m = 2; b = 4
2. m = 4; b = 2
3. m = -2; b = 4
4. m = 4; b = -2
Writing Equations From The Graph
Use the graph to find the slope and y-intercept.
1) Use two points to find the slope.
2) Look where the line crosses the y-axis.
3) Substitute into y = mx + b
1) Write the equation of the line.
2) Write the equation of the line.