Question

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? Y = negative 2 x minus StartFraction 1 Over 6 EndFraction y = negative 2 x + StartFraction 7 Over 6 EndFraction y = negative 2 x + StartFraction 5 Over 12 EndFraction y = negative 2 x minus StartFraction 11 Over 12 EndFraction

Answer 1

b

Explanation:

Answer 2

(B)
`y=-2x+ (7)/(6)`

Explanation:

Given the point-slope form of the equation of a line below:

`y-(2)/(3)=-2\left(x- (1)/(4)\right)`

We are required to write it in the slope-intercept form, y=mx+c.

`y-(2)/(3)=-2\left(x- (1)/(4)\right)\\\\y-(2)/(3)=-2x+ (2)/(4)\\\\y=-2x+ (2)/(4)+(2)/(3)\\\\y=-2x+ (7)/(6)`

The slope intercept form is:

`y=-2x+ (7)/(6)`

The correct option is B.