Graph the equation using the slope and the y-intercept.
y = 6/5x+4
To graph the equation y = (6/5)x + 4, we can start by plotting the y-intercept, which is the point (0, 4). This is where the line crosses the y-axis.
Next, we can use the slope, which is 6/5, to find other points on the line. The slope tells us how much y changes for every 1 unit increase in x. In this case, for every 1 unit increase in x, y will increase by 6/5.
Using the slope of 6/5 with the y-intercept of (0, 4), we can find two more points on the line. For example, if we increase x by 5 units (since the slope is 6/5), y would increase by 6 units. We can add this to the y-coordinate of the y-intercept to get a new point: (5, 10).
Similarly, if we decrease x by 5 units (opposite direction of the slope), y would decrease by 6 units. Subtracting 6 from the y-coordinate of the y-intercept gives us another point: (-5, -2).
By connecting these three points on the graph, we can obtain a straight line that represents the equation y = (6/5)x + 4.
The graph is shown below:
Thine
note the parenthesis is important
You do not mean
y = 6 /(5x) +4
or
y = 6 / (5x+4 )
when typing equations online watch out for not being able to write a fraction with a horizontal line and use parentheses
I apologize for the confusion. To clarify, the correct equation is y = (6/5)x + 4. Here is the correct graph:
Graphing this equation, we can start by plotting the y-intercept, which is the point (0, 4). This is where the line crosses the y-axis.
Next, we can use the slope, 6/5, to find other points on the line. The slope tells us how much y changes for every 1 unit increase in x. In this case, for every 1 unit increase in x, y will increase by 6/5.
Using the slope of 6/5 with the y-intercept of (0, 4), we can find two more points on the line. For example, if we increase x by 5 units (since the slope is 6/5), y would increase by 6. We can add this to the y-coordinate of the y-intercept to get a new point: (5, (6/5)(5) + 4) = (5, 10).
Similarly, if we decrease x by 5 units (opposite direction of the slope), y would decrease by 6. Subtracting 6 from the y-coordinate of the y-intercept gives us another point: (-5, (6/5)(-5) + 4)= (-5, -2).
By connecting these three points on the graph, we can obtain a straight line that represents the equation y = (6/5)x + 4.
The correct graph is shown below: