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Chapter 2: Q21. (page 79)

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

Short Answer

Expert verified

The equation of the required straight line in slope-intercept form is y=-4.

Step by step solution

01

– State the concept

The slope intercept form of a straight-line equation is y=mx+c where m is the slope and c is the y-intercept.

The slope of a horizontal line is 0.

The y-intercept is the value of y at the point where the line crosses the y-axis.

02

– List the given data

It is clear, from the graph, that the line is parallel to x-axis and thus, is a horizontal line.

It is also clear that the line crosses the y-axis at the point 0,-4.

03

– Write the equation

The given line is a horizontal line. Thus, its slope is 0. So,m=0.

The line crosses the y-axis at the point 0,-4. Thus, its y-intercept is -4. So, c=-4

Put m=0 and c=-4 in y=mx+c to get,

y=0x+-4

y=-4 (Simplify)

So, the required equation of the straight line in slope-intercept form is y=-4.

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