Question

Graph y= 1/2x + 3
algebra

Answer 1

See attachment.

Explanation:

Given equation:

`y=(1)/(2)x+3`

This is a linear equation as the highest power of the variable is 1.

The y-intercept is when x = 0:

`\begin{aligned}x=0 \implies y&=(1)/(2)(0)+3\\y&=3\end{aligned}`

The x-intercept is when y = 0:

`\begin{aligned}y=0 \implies (1)/(2)x+3&=0\\(1)/(2)x&=-3\\x&=-6\end{aligned}`

To graph the given equation:

• Plot the y-intercept (0, 3).
• Plot the x-intercept (-6, 0).
• Draw a straight line through the points.

Answer 2

see attached

Explanation:

You want a graph of the equation y= 1/2x + 3.

Slope-intercept form

The given equation is in slope-intercept form:

y = mx +b . . . . . . . . line with slope m and y-intercept b

Comparing the two equations, you see that ...

m = 1/2 . . . . "rise"/"run"

b = 3 . . . . . . y-value where the line crosses the y-axis

Graph

This mean the line crosses the y-axis at the point (0, 3) and goes up 1 unit for each 2 units to the right.

A graph of the equation is attached.