Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
F-Block
Jiffy Graphs: Intercept Form – Guided Notes − Section 4.03 Part 3 The last form of lines that we will study is called intercept form because it allows us to easily find the x-­‐intercept and the y-­‐intercept of the line. x-­‐intercept – the place where a line crosses the _______________________________ at the x-­‐intercept _______________________________________ y-­‐intercept – the place where a line crosses the _______________________________ at the y-­‐intercept _______________________________________ Example 1: Find the coordinates of the x-­‐intercept and the y-­‐intercept of the line graphed below. y
8
6
Coordinates of x-­‐intercept: 4
2
– 10
–5
5
–2
Coordinates of y-­‐intercept: –4
–6
–8
The equation for this line in intercept form is: Intercept Form of a Line: x
10
1 Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
F-Block
Example 2: Graph each of the equations. Show your work when finding intercepts. 10
a. 7𝑥 + 3𝑦 = 14 Find the x and y-­‐intercepts: Graph: 8
6
4
2
– 10
–5
5
10
5
10
–2
–4
–6
–8
– 10
10
b. −2𝑥 + 6𝑦 = −3 Find the x and y-­‐intercepts: Graph: 8
6
4
2
– 10
–5
–2
–4
–6
–8
– 10
2 Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
F-Block
Example 3: Write an equation in intercept form for each of the graphs. Intercept form of a line: a = x-­‐intercept and b = y-­‐intercept a) a = b = y
y
b) a = b = 6
6
4
4
2
2
x
x
–5
–5
5
5
–2
–2
–4
–4
–6
Equation: –6
Equation: Practice 1: Write an equation in intercept form for each of the graphs. a) a = b = 6
6
4
4
2
2
–5
Equation: b) a = b = –5
5
5
–2
–2
–4
–4
–6
–6
Equation: 3 Math 1: Algebra, Geometry and Statistics
Ms. Sheppard-Brick 617.596.4133
http://lps.lexingtonma.org/Page/2434
Name:
Date:
F-Block
Practice 2: Graph each of the equations. Show your work when finding intercepts. 10
a. −3𝑥 + 3𝑦 = 6 Find the x and y-­‐intercepts: Graph: 8
6
4
2
– 10
–5
5
10
5
10
–2
–4
–6
–8
– 10
10
b. −2𝑥 + 6𝑦 = 10 Find the x and y-­‐intercepts: Graph: 8
6
4
2
– 10
–5
–2
–4
–6
–8
– 10
4