Question

Which equation represents the graphed function?y = 4x – 2y = –4x – 2y =1/4 x – 2y = –1/4 x – 2

Answer 1

Option C is correct.

y = ¼ (x) - 2

Step-by-step 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

`Slope=m=\frac{Change\text{ in y}}{Change\text{ in x}}=(y_2-y_1)/(x_2-x_1)`

(x₁, y₁) and (x₂, y₂) are (0, -2) and (4, -1)

`\text{Slope = }(-1-(-2))/(4-0)=(-1+2)/(4)=(1)/(4)`

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!!!