y=1/2x+3

Question

Slope?
x-intercept
y-intercept

How do I graph this?

Answer 1

if a line y= ax+b, then a is the slope and b is the y-intercept.
here line is y=1/2 x+3
so slope is 1/2 and y-intercept is 3.
it means that y increases 1 unit for every 3 units of x increases

Answer 2

y = 1/2x + 3

Slope: m = 1/2

y-intercept is when x = 0
y = mx + b

y = 1/2(0)+3
y = 0 + 3
y = 3
y-intercept is 3

x-intercept is when y = 0

0 = 1/2x + 3 > move 1/2x to the left and change sign.

0 -1/2x = 3
-1/2x = 3 > divide on both sides by -1/2
x = -6
x-intercept is -6

Graph:

y=1/2x+3

You can give x a value and plot points, then draw a line.

y=1/2x+3 x = 2 y = 1/2(2)+ 3 y = 4
x = 4 y = 1/2(4)+ 3 y = 5
x = -2 y = 1/2(-2)+3 y = 2
x = -4 y = 1/2(-4)+3 y = 1
(2,4)
(4,5)
(-2,2)
(-4,1)

You can also graph by going to positive 3 on the y-axis. Then go up 1 and to the right 2. From that point, repeat the sequence > up 1, to the right 2.

You can also go to positive 3 on y-axis then go down 1, to the left 2. From that point repeat sequence > down 1, to the left 2.

Then draw a line.