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
