Okay .. Im working on Linear Equations and am VERY confused can someone help me solve this equation?
(Remember its : Linear Equation)
y=3x+4
Ok Gabby, this is a line with slope 3 and y intercept 4.
Have you seen how to graph lines yet?
(Incidentally, we can see it's linear, both the vaiables are degree one.)
Yes, I can help you solve the linear equation y = 3x + 4. To solve this equation, you need to find the values of x and y that satisfy the equation.
Step 1: Graphing the equation
To start, you can graph the equation on a coordinate grid. Since the equation is in the form y = mx + b, where m is the slope and b is the y-intercept, you can identify the slope and y-intercept from the equation.
The slope of the line is 3, which means that for every 1 unit increase in x, y increases by 3 units. The y-intercept is 4, which means that the line intersects the y-axis at the point (0, 4). You can plot this point on the graph.
Step 2: Finding additional points
To find additional points on the line, you can choose any x-value, substitute it into the equation, and solve for y. For example, let's choose x = 1. Substitute x = 1 into the equation:
y = 3(1) + 4
y = 3 + 4
y = 7
So, when x = 1, y = 7. You can plot the point (1, 7) on the graph.
Step 3: Connecting the points
Now, you can connect the plotted points on the graph to complete the line. Since the equation is linear, the line will be a straight line passing through these points.
Step 4: Identifying the solution
To find the solution to the equation, you can read the values of x and y from any point on the line. For example, from the graph, you can see that when x = 2, y is approximately 10. Therefore, one solution to the equation is x = 2 and y = 10.
You can repeat the process of finding points and connecting them to the line on the graph to visualize the solutions. Alternatively, if you only need a specific value of y for a given x, you can substitute the x-value into the equation and solve for y algebraically.
I hope this explanation helps you understand how to solve the linear equation y = 3x + 4! Let me know if you have any further questions.