Question

What is the slope of y = 4x and what does this mean?

Answer 1

Dear Eager Learner,

The slope of y=4x is 4. Y=4x shows us the equation of the line, while telling us that the y-intercept is 0, and the x-intercept is 0.

Onward,

DoppleGamer74

Calculus 2 Professor, UC Berkeley

Answer 2

The slope of the given line equation is 4. It means that for every 1 unit increase in x, the value of the y-coordinate will increase 4 times.

( The change in Rise is 4 times the change in Run )

Slope of a line

• The measure of the slope of a line is denoted by 'm'.
• Slope denotes the steepness of a line or curve
• Theoretically, it is also referred to as "rise over run"
• Thus, mathematically it can be evaluated as a change in y divided by a change in x.

                       $m = (y_{2} -y_{1} )/ (x_{2} -x_{1} )$

Solution 1 : Using 2 point method

First, we find any 2 solutions of the line equation and then find the slope of the line joining them.

Point 1 : x = 0, y = 4 * 0 = 0

Point 1 : x = 1, y = 4 * 1 = 4

Applying the above formula for slope :

                     $m = (y_{2} -y_{1} )/ (x_{2} -x_{1} )\\m = (4 -0 )/ (1 -0 )\\m = (4)/ (1 )\\m = 4$

Solution 2: Slope Intercept Form

Any line with slope 'm' and intercept value 'c' can be represented in the slope-intercept form as :

                   $y = mx + c\\y = 4(x) + 0$

In comparison, we get m = 4.

Hence, the slope of the given line equation is 4.

To learn more about Slope Intercept Form, visit

https://brainly.in/question/27480211

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