Write each question in slope-intercept form. Are the equations the same of different? Explain. y+1=2x−3 2x−3=y+1

foass77W

foass77W

Answered question

2021-01-24

Write each question in slope-intercept form. Are the equations the same of different? Explain.
y+1=2x32x3=y+1

Answer & Explanation

joshyoung05M

joshyoung05M

Skilled2021-01-25Added 97 answers

The first equation is given by y+1=2x-3
After simple calculation the equation can be written as:
y+1=2x-3
y=2x31 y=2x4
Slope Intercept Form of a Lime: The equation of the slope intercept form of lime is given by y=mx+c
where m is the slope of the line and c is the y-intercept.
Thus, the slope-intercept form of the line y+1=2x-3 is
y=2x-4
where m=2 is the slope and c=-4 is the y-intercept.
Now, the second equation is 2x-3=y+1
This equation can be written as 2x-3=y+1
y=2x31 y=2x4
Therefore, the slope and c=-4 is the y-intercept.
Note that, the slope intercept form of these two lines are same. Thus, we can say that these two lines are same. That is the equations are same.
(a) y=2x-4, where m=2, c=-4 (b) y=2x-4, where m=2, c=-4

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