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Chapter 4: Q11. (page 244)

Write an equation of the line that passes through the point0,0 and has a slope-4.

A.y=x鈭�4

B.y=x+4

C.y=鈭�4x

D.y=4鈭�x

Short Answer

Expert verified

The equation of the straight line for the given condition isy=鈭�4x. Option(C) is correct.

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=0,0m=鈭�4

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�0=鈭�4x鈭�0y=鈭�4x

The equation of the straight line is y=鈭�4x. Option (C) is correct.

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Most popular questions from this chapter

Write an equation in point slope-intercept form that passes through the given point and has the given slope.

3,鈭�5, slope23

Graph each function.

fx=2x鈭�1ifx<2x鈭�3ifx鈮�2

Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph the equation.

Slope: -5, y-intercept: 3

Write an equation of the line with the given conditions.

2,1, slope 0.

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

y鈭�4=12(x+2)
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