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Chapter 2: Q. 27 (page 79)

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

slope -0.5, passes through 2,-3

Short Answer

Expert verified

The equation of the required straight line in slope-intercept form is y=-0.5x-2.

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,kis given as y-k=mx-h.

02

Step 2. List the given data

It is given that the slope of the line is -0.5 and the line passes through 2,-3.

Then, m=-0.5 and h,k=2,-3.

03

Step 3. Write the equation

Put m=-0.5 and h,k=2,-3 in y-k=mx-h to get,

y--3=-0.5x-2

y+3=-0.5x-2 (Simplify)

y+3=-0.5x+1 (Distributive property)

y+3-3=-0.5x+1-3 (Subtract 3 from both sides)

y=-0.5x-2 (Simplify)

So, the required equation of the straight line in slope-intercept form is y=-0.5x-2.

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