y=3x+2
That is the equation of a line. What is the question?
The equation y = 3x + 2 represents a linear equation in slope-intercept form. In this form, y is the dependent variable (the variable that we are trying to solve for), x is the independent variable (the variable that we can choose any value for), and 3 is the slope of the line. The equation also tells us that when x is 0, y is 2.
To solve this equation for a specific value of x, simply substitute the value of x into the equation and calculate the corresponding value of y.
For example, let's say we want to find the value of y when x = 5. We substitute x = 5 into the equation and solve for y:
y = 3(5) + 2
y = 15 + 2
y = 17
Therefore, when x = 5, y = 17.
You can also plot this equation on a graph to visualize the relationship between x and y. To do this, plot a point on the y-axis at the y-intercept, which is 2 in this case. Then, use the slope of 3 to find additional points on the line. To do this, move 1 unit to the right and 3 units up from the initial point, and plot another point. Connect these points with a straight line, and you have graphed the equation y = 3x + 2.