Question

How do you find the slope of y - 3x = 1?

Answer 1

Hint:
In the above question we have to find the slope of y – 3x = 1, this is the standard form of slope-intercept. y = mx + c is the standard slope-intercept form where the slope is m and c is the y-intercept. So, let’s see how we can solve this problem.

Complete step by step solution:
We have to find the slope of y – 3x = 1.
After adding 3x on both sides of the equation
 $\Rightarrow $ y – 3x + 3x = 1 + 3x
 $\Rightarrow $ y = 1 + 3x
According to the standard slope-intercept form which is y = mx + c where the coefficient of x that is m is the slope. Here, we have y = 1 + 3x, so the coefficient of x is 3 and it is the slope as well.

Therefore, the slope of y – 3x = 1 is 3.

Note:
In the above solution, we get a slope-intercept form but there are other forms of equations as well. Other forms are point-slope form y – y1 = m(x-x1), intercept form $\dfrac{x}{a}+\dfrac{y}{b}=1$ , and standard form ax + by = c.