what are the coordinates for graphing the equation y=-3x+5
The equation y = -3x + 5 represents a linear equation in slope-intercept form, where the coefficient of x (-3) is the slope and the constant term (+5) is the y-intercept.
To graph this equation, we can choose values for x and solve for the corresponding y-values to get the coordinates.
Let's start with x = 0:
y = -3(0) + 5
y = 0 + 5
y = 5
The coordinates are (0, 5).
Next, let's choose another value for x, let's say x = 1:
y = -3(1) + 5
y = -3 + 5
y = 2
The coordinates are (1, 2).
We can continue this process by selecting more values for x:
For x = 2, y = -3(2) + 5 -> y = -6 + 5 -> y = -1 -> Coordinates: (2, -1)
For x = -1, y = -3(-1) + 5 -> y = 3 + 5 -> y = 8 -> Coordinates: (-1, 8)
By connecting these points on a graph, you can plot the line represented by the equation y = -3x + 5.