Answer:
B. y = -3x + 4
Explanation:
To know the equation of a line, we need to find the slope m and the y-intercept b. Then, the equation of the line will be:
y = mx + b
So, the slope of the line can be calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x1, y1) and (x2, y2) are two points in the line.
So, replacing (x1, y1) by (0, 4) and (x2, y2) by (2, -2), we get:
[tex]m=\frac{-2-4}{2-0}=\frac{-6}{2}=-3[/tex]Then, the y-intercept is the point where the graph crosses the y-axis, in this case, the y-intercept is the point (0, 4) so the value of b is 4.
Therefore, the equation of the line is:
y = -3x + 4
So, the answer is:
B. y = -3x + 4
