Question

Identify the x intercept and the y intercept. what is the type of slope.

Answer 1

x-intercept = (-4, 0)

y-intercept = (0, -3)

And the slope is a negative one.

Step-by-step explanation

The x and y intercept refer to the points where the line crosses the x and y axis respectively.

x-intercept refers to the value of x when y = 0. from the graph, this is at the point where x = -4.

x-intercept = (-4, 0)

y-intercept refers to the value of y when x = 0. From the graph, this is at the point where y = -3

y-intercept = (0, -3)

Then we are asked to determine what type of slope this is. Whether positive slope or negative slope. So, we might need to calculate the slope to show this.

For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

(x₁, y₁) and (x₂, y₂) are (-4, 0) and (0, -3)

`\text{Slope = }(-3-0)/(0-(-4))=(-3)/(4)`

We can evidently see that the slope is negative.

Hope this Helps!!!