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Chapter 2: Q19. (page 78)

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=45x.

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 equation of a straight-line passing through the points h,k and a,b is given as y-kx-h=b-ka-h.

02

– List the given data

It is clear, from the graph, that the line passes through the origin 0,0 and 2.5,2.

Then, h,k=0,0 and a,b=2.5,2.

03

– Write the equation

Put h,k=0,0 and a,b=2.5,2 in y-kx-h=b-ka-h to get,

y-0x-0=2-02.5-0

yx=22.5 (Simplify)

yx=45 (Simplify)

yxx=45x (Multiply both sides by \[x\])

y=45x(Simplify)

So, the required equation of the straight line in slope-intercept form is y=45x.

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