which of the lines graphed has a slope of -1/2 and a y-intercept of 3?




Answer:
The answer is image 3.
Step-by-step explanation:
The equation for the line will be y = (-1/2)x + 3 so the gradient is negative and you will have to find the x-intercept and y-intercept.
x-intercept :
[tex]let \: y = 0[/tex]
[tex]0 = - \frac{1}{2} x + 3[/tex]
[tex] \frac{1}{2} x = 3[/tex]
[tex]x = 3 \div \frac{1}{2} [/tex]
[tex]x = 6[/tex]
y-intercept :
[tex]let \: x = 0[/tex]
[tex]y = - \frac{1}{2} (0) + 3[/tex]
[tex]y = 3[/tex]