graph the equation & identify the y-intercept PLEASE!!!
X + 5Y=25
X + 5Y=25
5y=x+25
y=1/5x+25
your Y-intercept is 25
the y-intercept is -1/5x+5
To identify the y-intercept of the equation X + 5Y = 25, we need to graph the equation and then locate the point where the graph intersects the y-axis.
Step 1: Solve for Y
To graph the equation, we need to solve it for Y.
X + 5Y = 25
Subtract X from both sides of the equation:
5Y = 25 - X
Divide both sides of the equation by 5:
Y = (25 - X) / 5
We now have the equation in slope-intercept form (Y = mx + b), where m represents the slope and b represents the y-intercept.
Step 2: Plot the y-intercept
The y-intercept is the point where the graph intersects the y-axis. In the slope-intercept form, the y-intercept is represented by the value of b.
From the equation, we see that b = (25 - X) / 5. So, to find the y-intercept, we substitute X = 0 into the equation:
Y = (25 - 0) / 5
Y = 25 / 5
Y = 5
So the y-intercept is at (0, 5).
Step 3: Plot more points and draw the line
To graph the equation, you can choose any values for X, substitute them into the equation to find the corresponding Y values, and plot these points on a graph. Alternatively, you can create a table of values to make the process easier.
Let's choose a few values for X:
When X = 5, Y = (25 - 5) / 5 = 20 / 5 = 4. So we have a point at (5, 4).
When X = -5, Y = (25 - (-5)) / 5 = 30 / 5 = 6. So we have a point at (-5, 6).
Once you have a few points, plot them on a graph and draw a straight line through them. Remember to label the x and y axes and to scale them appropriately.
The graph should look like a straight line passing through the point (0, 5). The line will have a downward slope since the coefficient of Y is positive.