Determine whether statement is true or false, and explain why. The equation

Wierzycaz

Wierzycaz

Answered question

2021-10-22

Determine whether statement is true or false, and explain why.
The equation y= 3x+4 represents the equation of a line with slope 4.

Answer & Explanation

Nicole Conner

Nicole Conner

Skilled2021-10-23Added 97 answers

Step 1
Given that:
The statement,
The equation of a line with a slope of 4 is represented by the equation y= 3x+4.
The statement is false.
Step 2
Explanation:
We know that,
The equation of line is of the form y = mx + b , where b is the y - intercept and m is the slope of the line.
Here,
The equation of the line is y = 3x + 4 .
Compare this equation to the above form of equation of the line.
To get,
Slope (m) = 3
Thus,
The equation y= 3x+4 represents the equation of a line with slope 3.
Step 3
Therefore,
The statement,
The equation y= 3x+4 represents the equation of a line with slope 4 is false.

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