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Sagot :
In order to find the slope of the line given by the equation [tex]\( y = 4x + 5 \)[/tex], we need to identify the slope-intercept form of a linear equation. The slope-intercept form is:
[tex]\[ y = mx + b \][/tex]
Where:
- [tex]\( m \)[/tex] represents the slope of the line.
- [tex]\( b \)[/tex] represents the y-intercept, which is the point where the line crosses the y-axis.
Given the equation [tex]\( y = 4x + 5 \)[/tex], we can directly compare it to the slope-intercept form [tex]\( y = mx + b \)[/tex].
By comparison:
- [tex]\( m = 4 \)[/tex]
- [tex]\( b = 5 \)[/tex]
The slope [tex]\( m \)[/tex] of the line is thus clearly identified as 4.
Therefore, the correct answer is:
C. [tex]\( m = 4 \)[/tex]
[tex]\[ y = mx + b \][/tex]
Where:
- [tex]\( m \)[/tex] represents the slope of the line.
- [tex]\( b \)[/tex] represents the y-intercept, which is the point where the line crosses the y-axis.
Given the equation [tex]\( y = 4x + 5 \)[/tex], we can directly compare it to the slope-intercept form [tex]\( y = mx + b \)[/tex].
By comparison:
- [tex]\( m = 4 \)[/tex]
- [tex]\( b = 5 \)[/tex]
The slope [tex]\( m \)[/tex] of the line is thus clearly identified as 4.
Therefore, the correct answer is:
C. [tex]\( m = 4 \)[/tex]
The answer is C, m=4. The slope of a line in slope-intercept form (y=mx+b) will always be the number in front of the x. Therefore, in y=4x+5, the slope of the line is 4.
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