SWBAT: Graph equations of Horizontal and Vertical Lines. Graph linear equations in standard form using
intercepts. Use Linear equations in standard form to solve real-life problems
Do Now:
1) Sketch the graph for each equation given.
a) y = 4
y=-2
What is the slope of these lines?
b) x = -2
x=5
What is the slope of these lines?
Using Intercepts to Graph a Linear Equation
2)
(a) Use intercepts to graph the equation 3x + 4y = 12.
(b) What is the slope of the line?
(c) Write the equation in slope-intercept form.
1
SWBAT: Graph equations of Horizontal and Vertical Lines. Graph linear equations in standard form using
intercepts. Use Linear equations in standard form to solve real-life problems
3)
(a) Use intercepts to graph the equation x + 2y = 6
(b) What is the slope of the line?
(c) Write the equation in slope-intercept form.
4)
a) Write the equation in slope-intercept form.
1​
y​  2​ ​ x​
2​
b) Graph the function.
2
SWBAT: Graph equations of Horizontal and Vertical Lines. Graph linear equations in standard form using
intercepts. Use Linear equations in standard form to solve real-life problems
5) Write an equation for each table.
a)
b)
c)
6) Graph f (​ x​)​ ​ x​ ​ 3​ ​ 1​ .
x
y=
(x, y)
a) Write the domain as an inequality of f.
c) What is f(3) = __________
b) Write the range as an inequality of f.
d) What is f(-2) = __________
3
SWBAT: Graph equations of Horizontal and Vertical Lines. Graph linear equations in standard form using
intercepts. Use Linear equations in standard form to solve real-life problems
7) Write the equation of the line in slope-intercept form.
a)
Slope =
b)
 2​
3​
y-intercept = 5
c)
d)
e) Write the equation of the line in slopeintercept form that passes through
f)
Write the equation of the line in slopeintercept form that passes through
(8, 40) (10, 32)
4
SWBAT: Graph equations of Horizontal and Vertical Lines. Graph linear equations in standard form using
intercepts. Use Linear equations in standard form to solve real-life problems
Real Life Application Problems
8)
You are planning an awards banquet for your school. You need to rent tables to seat 180 people.
Tables come in two sizes. Small tables seat 6 people, and large tables seat 10 people. The
equation 6x + 10y = 180 models this situation, where x is the number of small tables and y is
the number of large tables.
a. Graph the equation. Interpret the intercepts.
b. Find four possible solutions in the context of the problem.
5