Question

The equation of a line is given below.4x + y = 1Find the slope and the y-intercept. Then use them to graph the line.

Answer 1

Given:

`4x+y=1`

Find: Slope and y-intercept.

Sol:

The general equation of a line is:

`y=mx+c`

Where,

`\begin{gathered} m=\text{ Slope} \\ \\ c=\text{ Y-intercept} \end{gathered}`

Equation convert in a general form:

`\begin{gathered} 4x+y=1 \\ \\ y=-4x+1 \end{gathered}`

Compare with the general equation:

`\begin{gathered} y=mx+c \\ \\ y=-4x+1 \end{gathered}`

So,

`\begin{gathered} \text{ Slope }(m)=-4 \\ \\ \text{ Y-intercept }(c)=1 \end{gathered}`

Graph of function is: