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This table gives a few (x,y) pairs of a line in the coordinate plane.

what is the y intercept of the line?

This table gives a few (x,y) pairs of a line in the coordinate plane. what is the-example-1

2 Answers

1 vote

Answer:

y = -23

Explanation:

Equation of line in intercept form is y = mx + c

Where m = slope of the line

and c = y-intercept

Now slope m =
((y-y')/(x-x') ) where (x, y) and (x',y') are the points lying on the line

If two points are (-72, 25) and (-54, 113)

so m =
((25-13)/(-72-54) )

=
((-12)/(18) =
((-2))/(3) )

Now equation of the line will be y =
((-2)/(3)x+c

This line passes through (-36, 1)

So 1 =
((-2))/(3) ) × (-36) + c

1 = 2 × (+12) + c

1 + +24 + c ⇒ c = 1 -24

= -23

User Ctate
by
8.1k points
1 vote

Answer:

y intercept is -23

Explanation:

Here we are given three coordinates and are asked to find y intercept of the line passing through these points.

We thus find the equation of this line by two point form

the form says

(y-y1)/(x-x1) = (y2-y1)/(x2-x1)

Here (x1,y1) = ( -36 , 1 )

and (x2,y2) = ( 13,-54)

Substituting the values we get

(y-1)(x+36)=(1-13)/(-36-(-54))

(y-1)(x+36)=(-12)/(-36+54)

(y-1)(x+36)=(-12)/(18)

y-1=-2/3 ( x+36)

In order to determine the y intercept we are required to leep x = 0 in above equation and solve for y

y-1 = -2/3 (0+36 )

y-1= (-2/3) x (36 )

y-1 = -2 x 12

y-1 = -24

adding 1 on both hand sides

y = -24 +1

y=-23

User Spy
by
8.5k points

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