Answer:
D. [tex]y=-2x-1[/tex]
Step-by-step explanation:
We have been given a line on coordinate plane. We are asked to find the equation of our given line.
First of all, we will find slope of our given line using points [tex](-2,3)[/tex] and [tex](0,-1)[/tex] in slope formula.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], where,
[tex]y_2-y_1[/tex] = Difference between two y-coordinates,
[tex]x_2-x_1[/tex] = Difference between two x-coordinates of same y-coordinates.
Upon substituting our given values in slope formula, we will get:
[tex]m=\frac{-1-3}{0--2}[/tex]
[tex]m=\frac{-4}{0+2}[/tex]
[tex]m=\frac{-4}{2}[/tex]
[tex]m=-2[/tex]
Now, we will use slope-intercept form of equation [tex]y=mx+b[/tex], where,
m = Slope of line,
b = The y-intercept.
Upon looking at our given graph, we can see that y-intercept is [tex]-1[/tex].
Therefore our required equation would be [tex]y=-2x-1[/tex] and option D is the correct choice.
