Final answer:
To graph the line described by the equation y-2=5/3(x-3), rearrange the equation into slope-intercept form y = mx + b. Identify the slope and y-intercept, and plot the y-intercept. Use the slope to find additional points on the line and graph it.
Step-by-step explanation:
To graph the line described by the equation y - 2 = (5/3)(x - 3), we can start by rearranging the equation into slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
By distributing the (5/3) to both terms inside the parentheses and then adding 2 to both sides of the equation, we get y = (5/3)x - 7/3.
Now that we have the equation in slope-intercept form, we can identify the slope as (5/3) and the y-intercept as (0, -7/3). To graph the line, we can plot the y-intercept and then use the slope to find additional points on the line.