Write the equation of the line in slope-intercept form that goes through the points (4, -2) and (8, -9)

Mathematics

2 answers:

LenaWriter [7]3 years ago

4 0

Answer:

y = 17/6 x - 40/3

Step-by-step explanation:

Slope-intercept form: y = mx + b

First, let's find the slope:

slope formula: (y2-y1) divded by (x2-x1)

(4, -2) and (8, -9)

(-9 - 8) divded by (-2 - 4) = 17/6

We found m, now we have to find b.

The new equation: y = 17/6 x + b

Insert any of the two points, in this case, I'll insert (4, -2)

-2 = 17/6 (4) + b

-2 = 68/6 + b

b = -2 - 68/6

b = -40/3

Overall equation: y = 17/6 x - 40/3

Xelga [282]3 years ago

3 0

Y = -7/4 + 5

Steps are on paper.

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3 years ago

Graph the line with slope – 2 passing through the point (-5,5).

34kurt

Answer:

y = -2x - 5

Step-by-step explanation:

y = -2x + b

- To find the y-intercept, plug the values of the variables.

5 = -2(-5) + b

5 = 10 + b