Intercepts
Slope
SlopeIntercept
Standard Writing
Form
Equations
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Find the x- and y-intercepts for
2y – 3x = 6
x = -2 and y = 3
In the form y = mx + b, what does
the b stand for?
The y-intercept
Find the x- and y-intercepts for
y = 5x - 10
x = 2 and y = -10
Find the x- and y-intercepts for
½ x + 4 = 2y
x = -8 and y = 2
Find the x- and y-intercepts for
5x – 2y = 7
x=
7/
5
and y =
7
- /2
What is the slope of the line
y = 5x – 2 ?
m=5
What is the slope of the line that
passes through the points (2,3) and
(4,7)?
m=2
What is the slope of the line that
passes through (-5, 3) and (1, -2)?
m=-
5/
6
Find the slope of the line 3x + 2y = 6?
m=-
3/
2
Find the slope of the line that passes
through the points (4, -2) and (4, 5)
m = undefined
Write the equation of the line that has
a slope of -3 and a y-intercept of 5
y = -3x + 5
Write the equation of the line that
has a slope of 1 and passes through
the point (2,5).
y = 1x + 3
Graph the line y = ¼ x – 3
Write the equation of the line that
passes through (1,-2) and (5, 2)
y = 1x – 3
Write the equation of the line
passing through (2,-2) and (6,0)
y=½x–3
What is the form Ax + By = C
called?
Standard form
In standard form, x and y must be on
the same side of the equals sign, and
the numbers in front of x and y
cannot be ____________
Fractions
Write y = 3x – 4 in standard form
-3x + y = -4
Write ½ x + 2y = 5 in standard form
x + 4y = 10
Write 3x + 4y = 2y – 7 in standard
form
3x + 2y = -7
One rainy day, Harry and Larry
decided to count the cars that passed
by their house. After three hours,
they counted 180 cars. Write the
equation in slope-intercept form for
the number of cars, y, that passed by
the house given, x, hours
y = 60x
You can order 10 shirts for $60 from
a certain mail order company. From
that same company, you can order
20 shirts for $100. Write the
equation describing the total cost, y,
given, x, shirts.
y = 4x + 20
Steve is helping a friend, who has a
tree farm, sell Christmas Trees. He
began with 350 trees to sell. After
two days, 300 trees are left. Assume
that the trees sell at the same rate per
day until they are gone. Write the
equation for number of trees left, y,
after x days.
y = 350 – 25x
A tank is filling with water from a
natural spring. Two days ago the
water was ten feet deep, and
yesterday the water was 12 feet
deep. Write the equation for the
height of the tank, y, given x days.
y = 2x + 14
An experiment is underway to test the
effect of extreme temperatures on a
newly developed liquid. Two hours into
the experiment the temperature of the
liquid is measured to be -17 degrees
Celsius. After eight hours of the
experiment, the temperature of the liquid
is -47 degrees Celsius. Write the
equation of the temperature, y, after x
hours.
y = -5x - 7