The equation y-2/3=-2(x-1/4) is written in point slope form. What is the equation in slope-intercept form ?

y = -2x + 7/6

Step-by-step explanation:

y-2/3=-2(x-1/4)

Distribute the -2

y-2/3=-2x+ 2/4

y - 2/3 = -2x + 1/2

Add 2/3 to each side

y - 2/3 + 2/3 = -2x + 1/2 + 2/3

Get a common denominator

y = -2x + 3/6 + 4/6

y = -2x + 7/6

y=-2x+7/6

Step-by-step explanation:

The equation for point-slope is y-y1=m(x-x1), where (x1,y1) are one of the points on the line.

y-2/3=-2(x-1/4)

(1/4, 2/3) is the point and the slope is -2

The equation for slope-intercept is y=mx+b, where m is the slope and b is the y-intercept.

y=(-2)x+b **Substitute the slope into m**

(2/3)=-2(1/4)+b **Substitute the points in as x and y**

2/3=-2/4+b

14/12=b **Add 2/4 to both sides**

14/12 is the same as 7/6

7/6 is the y-intercept

y=-2x+7/6

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