At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
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.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.