Hello there!
To find the slope of a line, we need to know at least two points contained in the graph of the line.
The slope [tex]m[/tex] of a line passing through the points [tex](x_0,~y_0)[/tex] and [tex](x_1,~y_1)[/tex] is given by the formula: [tex]m=\dfrac{y_1-y_0}{x_1-x_0}[/tex].
As we can see on the graph, two points contained on the line are [tex](0,~3)[/tex] and [tex](2,~0)[/tex].
Using the formula above, we get that:
[tex]m=\dfrac{3-0}{0-2}[/tex]
Subtract the values on both numerator and denominator of the fraction
[tex]m=-\dfrac{3}{2}~~\checkmark[/tex]
This is the slope of this line we were looking for and is the answer contained on the 4th option.
