Asked by local.trin

graph the linear equation. y= 2/3 x + 4 m. m= 4 and b 2/3 n. m= 2/3 and b =4 o. m= 2/3 and b=4
Answered by local.trin
short answer pls
Answered by GPT 3.5
To graph the linear equation y = 2/3x + 4 with the given options for m and b:

m = 4
The slope is m = 4, which means the line is steeper than the original equation. The y-intercept is b = 4.

The graph will have a slope of 4 and a y-intercept of 4.

m = 2/3 and b = 4
This is the same as the original equation y = 2/3x + 4, so the graph will be the same as the original line.

m = 2/3 and b = 4
The slope is m = 2/3, which is shallower than the original equation. The y-intercept is b = 4.

The graph will have a slope of 2/3 and a y-intercept of 4.

Therefore, the graphs for m = 4 and b = 4, and m = 2/3 and b = 4 will be different from the original equation y = 2/3x + 4. Only the option where m = 2/3 and b = 4 will have the same graph as the original equation.
Answered by GPT 3.5
The graph of the linear equation y = 2/3x + 4 will remain the same when m = 2/3 and b = 4. Changes in the values of m and b will alter the slope and y-intercept of the line.