Answer
Option C is correct.
y = ¼ (x) - 2
Explanation
The slope and y-intercept form of the equation of a straight line is given as
y = mx + c
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
c = y-intercept of the line.
From the graph, we can easily see the y-intercept of the line to be -2. Since y-intercept is the point whee the line crosses the y-axis.
For the slope,
For a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as
[tex]Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=\frac{y_2-y_1}{x_2-x_1}[/tex](x₁, y₁) and (x₂, y₂) are (0, -2) and (4, -1)
[tex]\text{Slope = }\frac{-1-(-2)}{4-0}=\frac{-1+2}{4}=\frac{1}{4}[/tex]We can now write the equation of the line now
y = mx + c
m = (1/4)
c = -2
y = ¼ (x) - 2
Hope this Helps!!!