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Juli2301 [7.4K]
3 years ago
10

26. The graph of linear function fpasses through the point (1,-6) and has a slope of -2

Mathematics
2 answers:
Alina [70]3 years ago
7 0

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have according to the data:

m = -2

Thus, the equation is of the form:

y = -2x + b

We substitute the given point:

(x, y) :( 1, -6)\\-6 = -2 (1) + b\\-6 = -2 + b\\-6 + 2 = b\\b = -4

Finally, the equation is:

y = -2x-4

Answer:

y = -2x-4

Brrunno [24]3 years ago
4 0

Answer:

y=-2x-4

Step-by-step explanation:

step 1

Write the linear equation in point slope form

y-y1=m(x-x1)

we have

m=-2\\(x1,y1)=(1,-6)

substitute

y+6=-2(x-1)

step 2

Convert to slope intercept form

y=mx+b

we have

y+6=-2(x-1)

isolate the variable y

y+6=-2x+2

y=-2x+2-6\\y=-2x-4

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