Identify the slope and the y-intercept of the equation, then graph the equation:

y=2/3x + 5
Slope(m) =
y-intercept(b)=

1 answer

Slope (m) = 2/3
y-intercept (b) = 5

To graph the equation, we can use the slope-intercept form, which is y = mx + b. In this case, the equation is already in slope-intercept form.

Start by plotting the y-intercept, which is the point (0, 5).

To find additional points to plot, we can use the slope. The slope is 2/3, which means that for every 3 units we move to the right, we move 2 units up. So starting from the y-intercept, we can move 3 units to the right and then 2 units up to find another point. This gives us the point (3, 7).

We can continue this process to find more points that fall on the line. For example, if we move 3 units to the right from the point (3, 7), we get to the point (6, 9).

Plot these points on a coordinate plane and draw a line through them. The graph of the equation y = 2/3x + 5 should be a line with a positive slope that passes through the points (0, 5), (3, 7), (6, 9), and so on.
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