Question

3 Which equation represents the line shown on the coordinate plane below? 1 -8-7 -6 -5 1-3 -2 6 8 A W = 42 B y = - 41 1 с V D

Answer 1

Option D is correct.

y = -¼(x)

Step-by-step explanation

The slope and y-intercept form of the equation of a straight line is given as

y = mx + b

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.

b = y-intercept of the line.

b = 0 (the graph crosses the y-axis at 0)

To calculate 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)`

For this question,

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

`\text{Slope = }(-1-1)/(4-(-4))=\frac{-2}{4+4_{}}=(-2)/(8)=-(1)/(4)`

So, recall that

y = mx + b

m = slope = -¼

b = y-intercept = 0

y = mx + b

y = -¼x + 0

y = -¼(x)

Hope this Helps!!!