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OleMash [197]
3 years ago
13

HELP WITH THIS QUESTION???

Mathematics
1 answer:
schepotkina [342]3 years ago
7 0

❇Answer: y=-5x+5

❇Explanation:

First I'll write down the points given:

(-2,15)➡1st point=(x1,y1)

(2,-5)➡ 2nd point=(x2,y2)

(6,-25)➡ 3rd point=(x3,y3)

(10,-45)➡4th point=(x4,y4)

Calculating slope using 1st and 2nd points:

slope= (y2-y1)/(x2-x1)

=(-5-15)/[2-(-2)]

=-20/4

=-5

Calculating slope using 3rd and 4th points:

slope= (y4-y3)/(x4-x3)

=[-45-(-25)]/(10-6)

=-20/4

=-5

Since slope of first two points and last two points are equal, all of these points lie on same line whose equation can be given in slope-intercept form as,

↪y=mx+c {m is slope}

↪y=-5x+c➡Eqn(1)

Let (0,c) be any point cutting y-axis making

y-intercept=c

Lets take 1st point and (0,c) and apply slope formula,

slope=(c-15)/[0-(-2)]

↪-5=(c-15)/2

↪c-15=-10

↪c=15-10

↪c=5

Put value of c in Eqn(1),

↪y=-5x+5

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3 years ago
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