Introduction for learn intercept group:
The intercept group has different types, one is x intercept and second one is y intercept and last one is z intercept. X intercept means point crosses the x axis and y intercept means point crosses the y axis of the line. When x = 0 and y= 0 that intercept is called as z intercept. Let us learn about the intercept group example problems and practice problems are given below.
Please express your views of this topic Slope Intercept Form Equation by commenting on blog.
Learn intercept group example problems:
Example 1: Find the x intercept of the line, 2.5x + 5y = 20
Solution:
The slope intercept form is y = mx + b, where m is the slope of the line.
Given equation is in the form of ax + by = c. To find the x- intercept Plug y = 0 in the equation
Here x intercept, so y = 0
2.5x + 5(0) =20
2.5x = 20
Divide by 2.5 on both sides.
` (2.5x)/(2.5)` = ` (20)/(2.5)`
After simplify this, we get
x = 8
x intercept = 8
Example 2: Find the y intercept of the line, 12x + 6.5y = 45.5
Solution:
The slope intercept form is y = mx + b, where m is the slope of the line.
Given equation is in the form of ax + by = c. To find the y- intercept Plug x = 0 in the equation
Here y intercept, so x = 0
12(0) + 6.5y = 45.5
0 + 6.5y = 45.5
6.5y = 45.5
Divide by 6.5 on both sides.
`(6.5y)/(6.5)` = ` (45.5)/(6.5)`
After finding this, we get
y = 7
y intercept = 7
Example 3: Solve the z intercept of the given equation: 0.5x - 1.5y + 3.5z = 35
Solution:
The given equation is 0.5x - 1.5y + 3.5z = 35. Let us find z intercept.
Substitute x = 0 and y = 0
0.5(0) - 1.5(0) + 3.5z = 35
0 - 0 + 3.5z = 35
After simplify this, we get
3.5z = 35
Divided 3.5 on both sides, we get
`(3.5z)/(3.5)` = `(35)/(3.5)`
After simplify this, we get
z intercept = 10
These example problems are very helpful to learn of intercept group.
Learn intercept group practice problems:
Problem 1: Find the x intercept of the line, 2.5x + 1.5y = 40
Answer: x intercept = 16
Problem 2: Find the y intercept of the line, 5x + 14.5y = 58
Answer: y intercept = 4
Problem 3: Solve the z intercept of the given equation: 6x - 4y + 125z = 250
Answer: z intercept = 2
The intercept group has different types, one is x intercept and second one is y intercept and last one is z intercept. X intercept means point crosses the x axis and y intercept means point crosses the y axis of the line. When x = 0 and y= 0 that intercept is called as z intercept. Let us learn about the intercept group example problems and practice problems are given below.
Please express your views of this topic Slope Intercept Form Equation by commenting on blog.
Learn intercept group example problems:
Example 1: Find the x intercept of the line, 2.5x + 5y = 20
Solution:
The slope intercept form is y = mx + b, where m is the slope of the line.
Given equation is in the form of ax + by = c. To find the x- intercept Plug y = 0 in the equation
Here x intercept, so y = 0
2.5x + 5(0) =20
2.5x = 20
Divide by 2.5 on both sides.
` (2.5x)/(2.5)` = ` (20)/(2.5)`
After simplify this, we get
x = 8
x intercept = 8
Example 2: Find the y intercept of the line, 12x + 6.5y = 45.5
Solution:
The slope intercept form is y = mx + b, where m is the slope of the line.
Given equation is in the form of ax + by = c. To find the y- intercept Plug x = 0 in the equation
Here y intercept, so x = 0
12(0) + 6.5y = 45.5
0 + 6.5y = 45.5
6.5y = 45.5
Divide by 6.5 on both sides.
`(6.5y)/(6.5)` = ` (45.5)/(6.5)`
After finding this, we get
y = 7
y intercept = 7
Example 3: Solve the z intercept of the given equation: 0.5x - 1.5y + 3.5z = 35
Solution:
The given equation is 0.5x - 1.5y + 3.5z = 35. Let us find z intercept.
Substitute x = 0 and y = 0
0.5(0) - 1.5(0) + 3.5z = 35
0 - 0 + 3.5z = 35
After simplify this, we get
3.5z = 35
Divided 3.5 on both sides, we get
`(3.5z)/(3.5)` = `(35)/(3.5)`
After simplify this, we get
z intercept = 10
These example problems are very helpful to learn of intercept group.
Learn intercept group practice problems:
Problem 1: Find the x intercept of the line, 2.5x + 1.5y = 40
Answer: x intercept = 16
Problem 2: Find the y intercept of the line, 5x + 14.5y = 58
Answer: y intercept = 4
Problem 3: Solve the z intercept of the given equation: 6x - 4y + 125z = 250
Answer: z intercept = 2
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