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Chapter 4: Q16. (page 244)

Writey+4=鈭�7x鈭�3in slope-intercept form.

Short Answer

Expert verified

The equation of the straight line for the given condition is y=鈭�7x+17.

Step by step solution

01

Step 1. State the concept of a straight line.

The standard form of slope and intercept form of the straight line is y=mx+c.

Here, mis the slope of the straight line and cis the y-intercept of the equation.

02

Step 2. State the equation of a line slope-point form.

The standard form of slope and point form of the straight line isy鈭�y1=mx鈭�x1

Here mis the slope of the straight line and is the point from which the straight line passes.

x1,y1=3,鈭�4m=鈭�7

03

Step 3. Simplify the equation to get the required equation.

Converting the given equation in the standard form.

y+4=鈭�7x鈭�3y+4鈭�4=鈭�7x+21鈭�4y=鈭�7x+17

The equation of the straight line is y=鈭�7x+17.

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