y=3/2x+4
y intercept and graph
find the slope
x+4y=8
is it 2? or 2x?
y=3/2x+4
y=3/2(0)+4
y=4
y intercept is 4
x+4y=8
4y=8-x
y=8-(1/4)x
slope is -1/4
To find the y-intercept and graph the equation y = (3/2)x + 4, we need to understand that the y-intercept is the point where the line intersects the y-axis. In other words, it is the value of y when x is equal to 0.
To find the y-intercept, we can substitute x = 0 into the equation and solve for y:
y = (3/2)(0) + 4
y = 0 + 4
y = 4
So, the y-intercept of the equation y = (3/2)x + 4 is y = 4.
To graph the equation, we can choose a few values for x, calculate the corresponding values for y using the equation, and plot the points on a graph.
Let's choose three values for x: -2, 0, and 2. We will calculate the corresponding y-values:
For x = -2:
y = (3/2)(-2) + 4
y = -3 + 4
y = 1
So, one point on the graph is (-2, 1).
For x = 0:
y = (3/2)(0) + 4
y = 0 + 4
y = 4
So, another point on the graph is (0, 4) which is the y-intercept.
For x = 2:
y = (3/2)(2) + 4
y = 3 + 4
y = 7
So, the third point on the graph is (2, 7).
Now, plot these three points (-2, 1), (0, 4), and (2, 7) on the graph. Then, draw a straight line passing through these points. This line represents the equation y = (3/2)x + 4.
Note that since the coefficient of x is positive (3/2), the line slopes upward from left to right.