Question

which statement describes the linear graph y equals 1/2 x - 3 b y equals 1/2 x + 3 C y equals -1/2x + 3 D. y equals 1/2x -3 E. y= 2x + 3

Answer 1

y = 1/2 x + 3 (option B)

Step-by-step explanation:

Equation of line: y = mx + c

m = slope, c = y-intercept

We need to find the slope of the line using any two points on the line:

Using points (-6, 0) and (0, 3)

slope formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} x_1=-6,y_1=0,x_2=0,y_2\text{ = }3 \\ \text{slope = }\frac{3\text{ - 0}}{0-(-6)}=(3)/(0+6) \\ \text{slope = }(3)/(6) \\ \text{slope = 1/2} \end{gathered}`

Then we find the y - intercept:

The y - intercept is the point the line crosses the y axis. THe line crosses the y axis at y = 3

c = y - intercept = 3

The equation of the line becomes:

y = 1/2 x + 3 (option B)