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Chapter 4: Q7. (page 244)

Write an equation of the line with the given conditions.

鈭�3,鈭�1; slope12.

Short Answer

Expert verified

The equation of the straight line for the given condition is y=12x+12.

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

x1,y1=鈭�3,鈭�1m=12

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�鈭�1=12x鈭�鈭�3y+1=12x+32y+1鈭�1=12x+32鈭�1y=12x+12

The equation of the straight line is y=12x+12.

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Most popular questions from this chapter

Write an equation of the line with the given conditions.

2,1, slope 0.

Jaime bought a car in 2005 for\(28500. By 2008, the car was worth\)23700it. Based on a linear model, what will the value of the car be in 2012?

A.\(17300

B.\)18100

C.\(17550

D.\)18475

Write an equation of the line that passes through the given points.

鈭�4,3,1,13

Write the given equation in standard form.

y+4=12(x鈭�3)

Write the given equation of line in slope-intercept form.

y+3=5(x+1)
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