Question
Drag the red and blue dots along the x-axis and y-axis to graph 2, x, minus, 6, y, equals, 182x−6y=18
Answers
GPT 3.5
To graph the equation 182x - 6y = 18, let's rearrange the equation in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To simplify the equation, let's divide both sides by 6:
(182x - 6y)/6 = 18/6
30x - y = 3
Now, let's isolate y to one side:
y = 30x - 3
Now, we have the equation in slope-intercept form. The slope is 30, and the y-intercept is -3.
To graph the line, follow these steps:
1. Plot the y-intercept: Start by plotting the point (0, -3) on the graph.
2. Use the slope to find another point for the line: Since the slope is 30, it means that for every increase of 1 in x, y will increase by 30. So, starting from the point (0, -3), move 1 unit to the right and 30 units up, and plot another point. You can label this point as (1, 27).
3. Draw a line through the two plotted points: Use a straightedge or ruler to draw a line passing through the points (0, -3) and (1, 27). This line represents the graph of the equation 182x - 6y = 18.
The graph of the equation 182x - 6y = 18 is a line passing through the points (0, -3) and (1, 27).
To simplify the equation, let's divide both sides by 6:
(182x - 6y)/6 = 18/6
30x - y = 3
Now, let's isolate y to one side:
y = 30x - 3
Now, we have the equation in slope-intercept form. The slope is 30, and the y-intercept is -3.
To graph the line, follow these steps:
1. Plot the y-intercept: Start by plotting the point (0, -3) on the graph.
2. Use the slope to find another point for the line: Since the slope is 30, it means that for every increase of 1 in x, y will increase by 30. So, starting from the point (0, -3), move 1 unit to the right and 30 units up, and plot another point. You can label this point as (1, 27).
3. Draw a line through the two plotted points: Use a straightedge or ruler to draw a line passing through the points (0, -3) and (1, 27). This line represents the graph of the equation 182x - 6y = 18.
The graph of the equation 182x - 6y = 18 is a line passing through the points (0, -3) and (1, 27).