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Chapter 4: Q12. (page 244)

Write an equation in point-slope form for the line that passes through each point with the given slope.

1,4,m=6

Short Answer

Expert verified

The equation of the straight line for the given condition is y=6x鈭�2.

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=1,4m=6

03

Step 3. Substitute the values to get the required equation.

Substitute the above values in the equationy鈭�y1=mx鈭�x1

y鈭�y1=mx鈭�x1y鈭�4=6x鈭�1y鈭�4+4=6x鈭�6+4y=6x鈭�2

The equation of the straight line is y=6x鈭�2.

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