Question

Real QuestionHello can u let me know what is the y-intercept of the equation y=3x-4 ?

Answer 1

Problem Statement

We are asked to find the y-intercept of the following equation:

`y=3x-4`

Method

To solve this question, we simply look at the general slope-intercept form of the equation of a line which is given as:

`\begin{gathered} y=mx+c \\ \text{where,} \\ m=\text{slope} \\ c=\text{ y-intercept} \end{gathered}`

Now, all we need to do is to compare the general form given above to the equation given in the question to find the y-intercept of the equation.

Solution

Comparing the general slope-intercept form with the equation of the line as follows:

`\begin{gathered} y=3x-4 \\ y=mx+c \\ \\ \text{This implies that:} \\ 3x=mx \\ \text{Divide both sides by }x \\ (mx)/(x)=(3x)/(x) \\ \\ \therefore m=3 \\ \\ c=-4 \end{gathered}`

Thus, the y-intercept is -4

Final Answer

The y-intercept is -4