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monitta
3 years ago
6

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
Mathematics
2 answers:
victus00 [196]3 years ago
7 0

Answer:

b

Step-by-step explanation:

Lena [83]3 years ago
5 0

Answer:

(B)  y=-2x+ \dfrac{7}{6}

Step-by-step explanation:

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

y-\dfrac{2}{3}=-2\left(x- \dfrac{1}{4}\right)

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

y-\dfrac{2}{3}=-2\left(x- \dfrac{1}{4}\right)\\\\y-\dfrac{2}{3}=-2x+ \dfrac{2}{4}\\\\y=-2x+ \dfrac{2}{4}+\dfrac{2}{3}\\\\y=-2x+ \dfrac{7}{6}

The slope intercept form is:

y=-2x+ \dfrac{7}{6}

<u>The correct option is B.</u>

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3 years ago
Parallel to y= -2x + 3 passes through the point (-2, -1)
elena55 [62]

Answer:

y = -2x - 5

Step-by-step explanation:

An equation of a line in slope-intercept is y=mx + b.

x and y are points on the line.

m is the slope.

b is the y-intercept.

To find this equation, we will need to find m and b.

When lines are parallel, they have the same slope.

A line parallel to y = -2x + 3 has a slope of -2.

m = -2

To find b, substitute into the equation a point on the line (-2, -1) and m = -2.

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3 years ago
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