Question

Find the slope and y-intercept write y-intercept as order pair

Answer 1

The slope and y-intercept of a line.

The equation of a line can be expressed as:

y = mx + b

Where m is the slope and b is the y-intercept. The slope of a line that passes through the points (x1,y1) and (x2,y2) is calculated as:

`m=(y_2-y_1)/(x_2-x_1)`

The figure shows a horizontal red line. We only need two points (or ordered pairs) to calculate the slope. Let's get them from the graph: (0,-5) and (2,-5).

Calculate the slope:

`m=(-5-(-5))/(2-0)=(-5+5)/(2)=0`

The slope is 0.

The y-intercept, as shown in the equation of the line, is the value of y when x=0.

Looking at the graph, we can identify the value of y=-5 when x=0. In fact, y=-5 for any value of x.

Thus, the y-intercept as an ordered pair is (0,-5)