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choixongdong

Answer:

You're correct

The slope is -2/5; and the y-intercept is  -1/3

Step-by-step explanation:

Slope = (-13/30 + 1/30) / (1/4 + 3/4)

= (-12/30) / ( 4/4)

= - 2/5

Slope intercept form: y = mx + b, where b = y-intercept

b = y - mx

b = (-3/5) - (-2/5)(2/3)

b = -3/5 + 4/15

b = -9/15 + 4/15

b = -5/15

b = -1/3

Answer

Slope = -2/5; y-intercept = -1/3

The slope and the y-intercept of the linear function is;

Option A; slope is -2/5 and y-intercept is -1/3

  • We know when given 2 coordinates, we can find the slope from the formula;

      m = (y2 - y1)/(x2 - x1)

  • We are are given 4 coordinates of x and their corresponding y - coordinates.

Let's make use of the first 2 coordinates to get the slope;

x1 = -3/4

x2 = -1/2

y1 = -1/30

y2 = -2/15

  • Thus; m = (-2/15 - (-1/30))/((-1/2) - (-3/4))

m = (-2/15 + 1/30)/(-1/2 + 3/4)

m = (-1/10)/(1/4)

m = -2/5

We know equation of a line in slope intercept form is;

y = mx + c

where m is slope and c is y-intercept

  • Let us use the first coordinate to get;

-1/30 = (-2/5)(-3/4) + c

-1/30 - 3/10 = c

c = -1/3

Thus, y-intercept is -1/3 and slope is -2/5

Read more at; https://brainly.com/question/17179318

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