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Chapter 4: Q2. (page 244)

Write an equation in slope-intercept form for each graph shown.

Short Answer

Expert verified

The equation of the line isy=23x+2.

Step by step solution

01

Step 1. State the concept of a straight line.

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

Here, mis the slope of the straight line and cis the y-intercept of the equation.

Also, when both the intercepts are given, use the intercept form of a straight line given below,

xa+yb=1, where a is the x-intercept and bis the y-intercept.

02

Step 2. Substitute the values from the graph.

From the graph, the x-intercept −3is while the y-intercept is 2.

Write the equation in the intercept form,

x−3+y2=1

03

Step 3. Simplify the equation to get slope-intercept form.

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

−x3+y2=1

y=21+x3y=2+23xy=23x+2

The equation of the straight line in the slope and intercept form is y=23x+2.

Therefore, the equation of the straight line is y=23x+2.

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