Question

graph the function: g(x)=2/3x+2

Answer 1

The function g(x) = (2/3)x + 2.

Compare the equation g(x) = (2/3)x + 2 with slope-intercept form y = mx + b, where m is slope and b is y-intercept.

Slope : m = 2/3 and y-intercept : b = 2.

y-intercept is 2, so the line crosses the y-axis at (0, 2)

Using slope find the next point.

Slope = rise/run = 2/3

Start at point (0, 2), move 2 units up (2+2=4) and 3 unit right (0+3=3), then plot the point (3, 4).

Draw a line through these points.

Graph :