Answer
x-intercept = (-4, 0)
y-intercept = (0, -3)
And the slope is a negative one.
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
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex]
(x₁, y₁) and (x₂, y₂) are (-4, 0) and (0, -3)
[tex]\text{Slope = }\frac{-3-0}{0-(-4)}=\frac{-3}{4}[/tex]
We can evidently see that the slope is negative.
Hope this Helps!!!
