Chapter 4.1, Problem 4CYP

To determine

Tofind:The equation of line in slope intercept form from the graph.

Answer to Problem 4CYP

The equation of the line is $y=\frac{x}{4}-1$ .

Explanation of Solution

Given:

The graph of the equation is

  

Calculation:

The standard form of slope and intercept form of the straight line is $y=mx+c$ .

Here m is the slope of the straight line and c is the y- intercept of the equation.

From the graph, the x- intercept is 4 while the y- intercept is -1.

Write the equation in the intercept form,

  $\frac{x}{4}+\frac{y}{\left(-1\right)}=1$

Convert this equation in slope and intercept form by separating the y from the equation in the intercept form.

  $\begin{array}{l}\frac{x}{4}-y=1\\ y=\frac{x}{4}-1\end{array}$

The equation of the straight line in the slope and intercept form is

  $y=\frac{x}{4}-1$

Therefore, the option (F) is correct. The equation of the straight line is $y=\frac{x}{4}-1$ .