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Chapter 4: Q. 663 (page 572)

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope鈥搃ntercept form.

Line2x+5y=-10, point10,4

Short Answer

Expert verified

The equation of the required line is y=-25x+8.

Step by step solution

01

Step 1. Given information.

Consider the given question,

Line2x+5y=-10, point10,4

02

Step 2. Find the slope.

Slopes of parallel lines are equal. If m1,m2are the slopes of two parallel lines then m1=m2.

We know, the slope intercept form of the line is y-y1=mx-x1......(i).

Write the given line in slope intercept form,

role="math" localid="1647784577734" 5y=-2x-10y=-2x-105y=-25x-2

Compare the given line with equation (i),

m=-25

03

Step 3. Find the equation of the line.

Substituting the values in equation (i),

y-4=-25x-10y-4=-25x+205y=-25x+4+4y=-25x+8

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