This table gives a few
(
x
,
y
)
(x, y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.
x
xx
y
yy
−
3
6
−36minus, 36
−
1
1
7
−117minus, 117
−
2
7
−27minus, 27
−
9
8
−98minus, 98
−
1
8
−18minus, 18
−
7
9
−79minus, 79
what is the
y
yy-intercept of the line?
(

The y-intercept of the line is the point (0,-41)

Step-by-step explanation:

we have the points

(-36,-117),(-27,-98) and (-18,-79)

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

take the points

(-27,-98) and (-18,-79)

substitute the values

step 2

Find the equation of the line in point slope form

we have

substitute

----> equation in point slope form

step 3

Convert the equation in slope intercept form

where

m is the slope

b is the y-coordinate of the y-intercept

isolate the variable y

therefore

The y-intercept of the line is the point (0,-41)

y-intercept of line is -41

Step-by-step explanation:

We are given the following in the question:

The line passes through the given coordinates point:

(-36,-117),(-27,-98) and (-18,-79)

The equation of line can be made with the help of two point form of straight line.

The equation of line is given by:

where, is the point through which the line passes.

The equation of line passing through (-27,-98) and (-18,-79) is:

Comparing the above equation with point slope form:

where m is the slope of the line and c is the y-intercept, we get c = - 41

Thus, y-intercept of line is -41

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step-by-step explanation:

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