The equation of the line in slope - intercept form is [tex]y=-3x+1[/tex]
Explanation:
From the graph, the given coordinates are [tex](-1,2)[/tex] and [tex](1,-4)[/tex]
We need to determine the equation of the line in slope intercept form.
The equation of the line can be determined using the formula,
[tex]y-y_1=m(x-x_1)[/tex]
First, we shall find the value of the slope.
The slope can be determined by substituting the points [tex](-1,2)[/tex] and [tex](1,-4)[/tex] in the slope formula, we get,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-4-2}{1+1}[/tex]
[tex]m=\frac{-6}{2}[/tex]
[tex]m=-3[/tex]
Thus, the slope is [tex]m=-3[/tex]
Now, we shall substitute the coordinate [tex](-1,2)[/tex] and the slope [tex]m=-3[/tex] in the formula [tex]y-y_1=m(x-x_1)[/tex], we get,
[tex]y-2=-3(x+1)[/tex]
[tex]y-2=-3x-3[/tex]
[tex]y=-3x+1[/tex]
Thus, the equation of the line in slope intercept form is [tex]y=-3x+1[/tex]
