Find the x and y-intercepts of the segment graphed

Answer 1

Considering there is no graph, I'll attempt to answer this question as generally as possible

ASSUMPTION:

the segment graphed is a line-segment

In order to determine the x- and y-intercepts of a graphed line-segment, you will need to determine the equation of that line.

This equation can be in the slope-intercept form of y = m x + b

In order to determine m (the slope of the line), you need two points: (x₁, y₁) and (x₂, y₂)

Determine coordinates of two end-points of the segment, then calculate the slope,

_{m =} y₂ - y₁

x₂ - x₁

At this point, you can begin to determine the y-intercept (b)

Use the slope you just determined, and one of the points you collected from above, and plug into the

slope-intercept form, leaving b as the unknown value to be solved for.

To illustrate, the unknown value of b is represented as a question mark

from:

y = m x + b

y₁ = m x₁ + ?

? = y₁ - m x₁ = y-intercept

Now rewrite the slope-intercept form, this time knowing values for m and b and substituting them

in place of m and b.

To determine the x-intercept, let y = 0, as the x-axis is y = 0, then solve for x.

To illustrate, the unknown value of x is represented as a question mark

from:

y = m x + b

0 = m ? + b

? = 0 - b = x-intercept

m