Chapter 4, Problem 1SGR

To determine

To Find:

Given statement is True or False.

Answer to Problem 1SGR

True

Explanation of Solution

Given Information: The y -intercept is the y -coordinate of the point where the graph crosses y -axis.

Explaination:

Equation of slope-intercept form of a line is given by:

  $y=mx+b\mathrm{............................}(1)$

Where

  $\begin{array}{l}b=y-\mathrm{int}ercept\\ m=\frac{rise}{run}=slope\end{array}$

So, the equation (1) , when represented on the graph, crosses y -axis at point (0,b).

y -intercept is the point where the line crosses the y -axis.

For example :

  

Given equation of line is $y=x-3$

Here , y -intercept = b = -3

That is , the point where the line crosses y -axis is (0,-3)

The y -coordinate of the point where the graph crosses the y- axis is -3 , which is the y -intercept of the equation .

So , the given statement is True.

The y -intercept is the y -coordinate of the point where the graph crosses y -axis.