The equation y minus two-thirds = negative 2 (x minus one-fourth) is written in point-slope form. What is the equation in slope-intercept form?
Answers
Answer:
- 2x + 7/6
Step-by-step explanation:
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deon103199
deon103199
01/16/2020
Mathematics
High School
+5 pts
Answered
The equation y minus two-thirds = negative 2 (x minus one-fourth) is written in point-slope form. What is the equation in slope-intercept form?
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Answer:y = - 2x + 7/6
Step-by-step explanation:
The point slope form of the equation is expressed as
y - 2/3 = - 2(x - 1/4)
Comparing with the point slope form of an equation,
y - 1 = m(x - 1)
From the given equation,
Slope, m= - 2
The point through which the line passes through is ( 1/4 , 2/3)
The slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents intercept
To determine c, we we would substitute m = - 2, x = 1/4 and y = 2/3 into y = mx + c. It becomes
2/3 = - 2 × 1/4 + c
2/3 = - 1/2 + c
c = 2/3 + 1/2 = 7/6
Therefore, the slope intercept form would be
y = - 2x + 7/6
Answer:
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