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Chapter 2: Q. 28 (page 79)

Write an equation in slope-intercept form for the line that satisfies each set of conditions.

slope 4, passes through the origin

Short Answer

Expert verified

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

Step by step solution

01

Step 1. 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 having slope m and passing through the point h,k is given as y-k=mx-h.

02

Step 2. List the given data

It is given that the slope of the line is 4 and the line passes through the origin, that is, 0,0.

Then, m=4 and h,k=0,0.

03

Step 3. Write the equation

Put m=4and h,k=0,0in y-k=mx-hto get,

y-0=4x-0

y=4x (Simplify)

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

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