Name:
Date:
Block:
Graphing using Standard Form (Intercept Form)
Standard form is written as
. This form is also called
.
Using this form will aid in determining the
.
An 𝑥-intercept of a graph is the
.
A 𝑦-intercept of a graph is the
of a point where the
.
Example #1 - Changing from slope-intercept form to standard form.
2
x 7
3
y = -3x + 4
y=
y = 5x + 2
y=-
1
x+1
2
Example #2 – Identify the 𝑥-intercept and the 𝑦-intercept of each of the graphs.
Line A: 𝑥-intercept:
𝑦-intercept:
Line A
Line B: 𝑥-intercept:
𝑦-intercept:
Line B
Example #3 – Find the 𝑥-intercept and the 𝑦-intercept of each of the following:
a) 2𝑥 + 7𝑦 = 28
b) 4𝑥 − 2𝑦 = 16
c) 3x  y  3
d) x  y  5
Example #4 - Write an equation in standard form of the line has the given information.
m = 2, b = 4
m = 5, b = 6
Example #5 – Graph the following equations on the same set of axes by finding the 𝑥-intercept and the
𝑦-intercept. Label the intersection point.
a) 𝑥 + 2𝑦 = 4
b) 4𝑥 + 8𝑦 = 24
Write the equation of the lines graphed below in standard form.
Intercept Form Practice
Directions – Graph each equation by finding the x- and y-intercepts.
1.
x+y=5
2. x + y = 3
3. x – y = 1
4.
2x – 3y = 6
5. 2x + y = 2
6. 5x – 3y = –15
7.
3x – 5y = 10
8. 3x – 4y = 16
9. 4x + 3y = 9
7. Circle or shade any of the following equations below that have an x-intercept of 4 & a y-intercept of
–8.
8x  4 y  32
5x  10 y  20
16 x  8 y  64
6 x  3 y  24