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Bell Ringer
Evaluate each expression.1) .25x + 2 for x = 16
2) -2x – 5 for x = 3
Solve each equation for y.3) y – 5 = 4x
4) 2y + 6 = -8x
What is a linear equation?
An equation whose graph is a line.
Slope-Intercept Form
What is a y – intercept?
Where the line crosses the y – axis.
Slope-Intercept Form
y = mx + b
where m = slope
b = y-intercept
Slope-Intercept Form
y = mx + b
What is the slope and y-intercept of:
y = 4x + 2
y = -2x - 1
What is the slope and y-intercept of:
y = 3x – 5
y = -2x
y = 4/5x + 5
You try!
Write an equation of the line with:
m = 3 and y-intercept of 7
m = -1 and y-intercept of -2
Write an equation of the line with the following slope and y – intercept:
1. m = -.5, y - intercept = 3
2. m = 1, y - intercept = -1
3. m = 2/3, y - intercept = 0
You try!
(0,2) and (4,-1)y-intercept is 2
(-2,2) and (4, 4)y-intercept is -2
Find the slope given your two points. Then write an equation in slope-intercept form using the y-intercept.
(-1,5) and (3,-3)y – intercept: 0
You try!
(3,2) (4,6)y – intercept: 1
Graphing with slope-intercept form.
y = 3x – 1
m = b =
Your y-intercept can be written as an ordered pair.
Graphing with slope-intercept form.
y = x – 3
m = b =
You try!
y = -1/2x + 2
m = b =
Homework