Question
Calculate the slope of the following 12x - 6y = 30.
- 2
- -2
- 12
- -12
Hint:
The general equation for a straight line: y=mx+b
The slope is m
The correct answer is: 2
Step 1 of 1:
Given equation, 12x - 6y = 30
→ 
(dividing both sides by 6)
→ y = 2x + (-5)
Slope is 2
Final Answer:
The right choice is- c. 2
In mathematics, the equation of a straight line describes the relationship between the coordinate points that comprise that line. It can be expressed in several ways and contains information about a line's slope, x-intercept, and y-intercept.
A straight line's standard form is given by the equation ax + by = c, where a, b, and c are real numbers. Let's illustrate how to put the equation y = 3x - 1 in standard form. Add 2x to neither side of the equation, and we get
y - 3x = 3x - 1 - 3x
= y - 3x = -1
= 3x - y = 1
As a result, we arrive at the line's standard form, which is 3x - y = 1
Related Questions to study
Identify equation is written in STANDARD form.
Identify equation is written in STANDARD form.
Identify the y intercept.
2x – y = 3
Identify the y intercept.
2x – y = 3
Find the y-intercept in the equation x + 2y = 4.
Find the y-intercept in the equation x + 2y = 4.
Give the x-intercept
5y + 3x = 30
Give the x-intercept
5y + 3x = 30
Give the y-intercept
3x + y = 5
Give the y-intercept
3x + y = 5
Identify the y-intercept of the line.
Identify the y-intercept of the line.
Find the x and y intercepts
4x - 5y = 40
Find the x and y intercepts
4x - 5y = 40
Give the y-intercept
3x + 5y = 30
Give the y-intercept
3x + 5y = 30
Give the x - intercept
3x + 5y = 30
Give the x - intercept
3x + 5y = 30
Calculate the slope of the line 5x - 10y = 21.
Calculate the slope of the line 5x - 10y = 21.
Identify the x-intercept of the line 2x + 4y = 12.
Identify the x-intercept of the line 2x + 4y = 12.
Identify the correctly written in standard form of y = -
x + 12.
Identify the correctly written in standard form of y = - x + 12.
Choose the FALSE about the line y = 3x + 7
Choose the FALSE about the line y = 3x + 7
Write the equation of the line in standard form
Write the equation of the line in standard form
Calculate the slope of the line that passes through (1,3) and (4, -8).
Slope of a line is also found by finding the tangent value of the angle at which the line is inclined to the positive x axis.
Calculate the slope of the line that passes through (1,3) and (4, -8).
Slope of a line is also found by finding the tangent value of the angle at which the line is inclined to the positive x axis.
