y = 1/2 x + 3 (option B)
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:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=-6,y_1=0,x_2=0,y_2\text{ = }3 \\ \text{slope = }\frac{3\text{ - 0}}{0-(-6)}=\frac{3}{0+6} \\ \text{slope = }\frac{3}{6} \\ \text{slope = 1/2} \end{gathered}[/tex]
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)
