Question

What is slope and intercept of \[y=\dfrac{1}{2}x\]?

Answer 1

Hint: In the given question, we have been an equation in two variables. Firstly, we figure out what formula should be used. Here, we know that the given line equation is in the form of slope-intercept form of a line. In the slope-intercept form equation \[y=mx+c\], where ‘m’ is the slope and ‘c’ is the y=intercept.

Complete step by step solution:
Let us solve the question:
In order to find out the slope and intercept of the given equation, let us first understand their meaning. The change of y-value over the change of the x-axis is called the slope of a line.
Coming to the problem, since the given equation of line is written in slope intercept form \[y=mx+c\]where m is the slope and c is the y-intercept of the line. We can write the equation of the line as \[y=\dfrac{1}{2}x+0\]. So, comparing the equation \[y=\dfrac{1}{2}x+0\]to slope intercept form, we will get
\[y=\dfrac{1}{2}x+0\] and \[y=mx+c\]
\[\therefore m=\dfrac{1}{2}\]and \[c=0\]
Therefore, the required value of slope is 2 and value of y intercept is 0.
The graph of the line \[y=\dfrac{1}{2}x\] is depicted as

Note:
If a line is positioned from the bottom left to upper right, then the slope is a positive slope. If a line is positioned from the bottom left to upper right, then the slope is a positive slope. We can also find the x intercept of the line by putting \[y=0\] as when the line is cutting the x-axis the value of y is 0. Similarly, we can also find the y-intercept of the line by putting \[x=0\]in the equation.