Question

How do you find the slope and intercept of \[y = 3x - 2\]?

Answer 1

Hint: In the given question, we have been given an equation in two variables. We have to find the slope and intercept of the given equation. To do that, we first convert the given equation to slope-intercept form. From there, we find out the value of slope and the y-intercept using the formula, and that gives us the answer.

Formula Used:
The standard form of a linear equation in slope-intercept form is:
\[y = mx + b\]

Complete step by step answer:
The given equation is \[y = 3x - 2\].
Clearly, this equation is of the type \[y = mx + b\], hence, is already in the slope-intercept form.

Thus, slope \[m = 3\]
And, y-intercept \[b = - 2\]

Note:
In this question, we only need to know one thing – how to convert the equation in slope-intercept form, and then we just compare the derived equation with the standard equation for the values of the slope and the intercept and that gives us the answer.