Answer:
The slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Step-by-step explanation:
From the line equation, let us take two points
Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)[/tex]
[tex]m=\frac{1-2}{4-0}[/tex]
[tex]m=-\frac{1}{4}[/tex]
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
[tex]-\frac{1}{-\frac{1}{4}}=4[/tex]
Thus, the slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
