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Which of the following is an equation in slope-intercept form for the line shown?

Fy=14x1

Gy=14x+4

Hy=4x1

Jy=4x+4

Short Answer

Expert verified

Theoption (F) is correct. The equation of the straight line is y=x41.

Step by step solution

01

Step 1. State the concept of the slope-intercept form of an equation.

The slope-intercept form of a linear equation is y=mx+b, where m is the slope and bis the y-intercept.

02

Step 2. Write the equation in the intercept form. 

From the graph, the x-intercept is 4 while the y-intercept is -1.

Write the equation in the intercept form,

x4+y1=1

03

Step 3. Write the equation of a line in slope-intercept form.

Convert this equation in slope and intercept form by separating them yfrom the equation in the intercept form.

x4y=1y=x41

Therefore, option (F) is correct. The equation of the straight line is y=x41.

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