The points (–4, –3) and (–1, –8) are on a line. find the intercepts to the nearest tenth.

This question is based on the intercepts of line.Therefore, the intercepts are, x - intercept and y-intercept.

Given:

The points (–4, –3) and (–1, –8) are on a line.

According to the question,

The intercepts of a graph are the points, at which line meets with the x axis and the y axis.

Now, find the equation of the line.

We know that equation of line is ,

y = mx + b

Therefore, the y - intercept is (0, )

Equation of line become =

Thus, the x - intercept is  .

Therefore, the intercepts are, x - intercept and y-intercept.

For further details, please refer this link:

link

The intercepts are the points where the line meets with the x axis and the y axis. First let us find the equation of the line.

Finding slope:

slope=change in y/change in x (y2-y1/x2-x1)

slope=-3-(-8)/-4-(-1)=5/-3=-5/3

Finding y-intercept:

y=mx+b

-8=-5/3(-1)+b

b=-9 2/3

y intercept: (0,-9 2/3)

Equation: y=-5/3x-9 2/3

Since we already have the y intercept let us find the x intercept by plugging 0 in the place of y in the equation.

0=-5/3x-9 2/3

x=29/3x(-3/5)

x=-29/5

x intercept: (-29/5,0)

answers: (0,-9 2/3) and (-29/5,0)