Solve on Function Graph y= 28.5x + 6.75x + 42
Yes
why do you have two x terms?
To solve the equation of the function graph y = 28.5x + 6.75x + 42, we can simplify the equation by combining like terms.
First, combine the terms with the same variable, x:
28.5x + 6.75x = 35.25x
Substituting this value back into the equation, we have:
y = 35.25x + 42
Now, let's graph this equation.
To graph a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept, we can follow these steps:
1. Plot the y-intercept: On the y-axis, mark a point at the y-coordinate where x = 0. In this case, the y-intercept is 42, so plot a point at (0, 42).
2. Determine the slope: The coefficient of x in the equation (35.25x) represents the slope. For every increase of 1 in x, y increases by 35.25.
3. Use the slope to find another point: From the y-intercept point, move horizontally (right for a positive slope, left for a negative slope) according to the slope value and vertically according to the slope value multiplied by the rise/run.
Let's find one more point to plot on the graph using a convenient x-value, say x = 1:
Substituting this value into the equation, we have:
y = 35.25(1) + 42
y = 77.25
So, when x = 1, y = 77.25. Plot a second point at (1, 77.25).
4. Draw a straight line through the two points: With the two plotted points, draw a straight line connecting them. This line represents the graph of the function equation y = 35.25x + 42.
Keep in mind that this graph represents a linear function, meaning it is a straight line.