I am actually in 6th grade but I really want to learn more about pre algebra. I was given a task to solve the question of y=9x+3*7 and i don't get what to do. Should I graph? Or solve for y?
depends on what you mean by solve the question. Drawing a graph is one way to illustrate the relation between x and y.
Another way is to fill in a table of matching values. Pick values for x and calculate the matching y values.
Other questions might be to determine the axis intercepts, the slope, and so on.
No need to solve for y. The equation does that already.
You might want to solve for x:
y = 9x+3*7
y-21 = 9x
(y-21)/9 = x
That's great to hear that you want to learn more about pre-algebra! It's important to have a solid foundation in math. Let's break down the task you were given.
The equation you have is y = 9x + 3*7. This equation represents a line in the coordinate plane. To solve the equation, you have a couple of options: graphing or solving for y.
If you choose to graph the equation, you can plot points on a coordinate plane and connect them to form a straight line. In this case, the equation is already in the form y = mx + b, where m represents the slope (9 in this case) and b represents the y-intercept (3*7 = 21 in this case). You can start by plotting the y-intercept (0, 21) on the graph and then use the slope to find additional points. For example, if you go up 9 units and right 1 unit from the y-intercept, you can plot another point (1, 30). Continue this process to plot more points and then connect them to form a line.
On the other hand, if you choose to solve for y, you can manipulate the equation in order to isolate y. Start by distributing the 3 to 7, which gives you y = 9x + 21. Now, you have the equation in slope-intercept form. You can then plug different values of x into the equation and solve for the corresponding values of y. For example, if you substitute x = 2 into the equation, you get y = 9(2) + 21, which simplifies to y = 18 + 21 = 39. You can continue this process to find more solutions.
Both methods, graphing and solving for y, will give you the same information about the line represented by the equation. Graphing allows you to visualize the line, while solving for y gives you specific coordinate points. It's always good to have different approaches to solving math problems, so feel free to use the method that you feel most comfortable with.