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Chapter 3: Q13. (page 209)

Use the graph to determine the solution to the equation−13x+1=0?

Short Answer

Expert verified

The solution to the equation−13x+1=0  is x=3.

Step by step solution

01

Step 1. State the concept of linear equation.

A linear equation is the equation of a line. When you graph a linear equation, it's best to write the equation in slope-intercept form:

y=mx+c

Remember that m is the slope of the line and b is the y-intercept (the y-coordinate of the point at which the line crosses the y-axis).

02

Step 2. State the solution of linear equation graphically.

Thesolution of a linear equation (equation of line) are the points that lies on the line.

The points are the coordinates x,y where x-coordinate is the value of x and y-coordinate is the value of y.

03

Step 3.  Find the value of x.

Compare the equation−13x+1=0 with y=mx+c.

Observe the graph.

Notice the value ofyy−cordinate=0

From the graph see that the y−cordinateis 0 at x=3 

Therefore the value of xx−cordinate=3.

Hence, x=3 is the solution of −13x+1=0 .

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