Find the coordinates of the points of intersection of the graphs with coordinate axes:y=−1.5x+3
To find the coordinates of the points of intersection of the graph with the coordinate axes, we can substitute the values of x and y to find the points where the graph intersects each axis.
Let's start with the x-axis. On the x-axis, the value of y is 0. So, we can plug in y = 0 in the equation y = -1.5x + 3:
0 = -1.5x + 3
To solve for x, let's isolate the x-term:
1.5x = 3
x = 3/1.5
x = 2
So, the point of intersection on the x-axis is (2, 0).
Next, let's find the point of intersection on the y-axis. On the y-axis, the value of x is 0. So, we can plug in x = 0 in the equation y = -1.5x + 3:
y = -1.5(0) + 3
y = 3
So, the point of intersection on the y-axis is (0, 3).
Therefore, the coordinates of the points of intersection of the graph with the coordinate axes are (2, 0) and (0, 3).
To find the points of intersection of a graph with the coordinate axes, we need to substitute the value of x or y as 0 and solve for the other variable. Let's find the points of intersection of the graph of the equation y = -1.5x + 3 with the x and y axes.
When y = 0, we can substitute it into the equation as follows:
0 = -1.5x + 3
To solve for x, let's isolate it on one side of the equation:
-1.5x = -3
Divide both sides of the equation by -1.5 to find x:
x = -3 / (-1.5) = 2
Therefore, one point of intersection is (2, 0) on the x-axis.
Next, let's find the point of intersection with the y-axis. For that, we substitute x = 0 into the equation:
y = -1.5(0) + 3
Simplifying, we get:
y = 3
Thus, the point of intersection with the y-axis is (0, 3).
Therefore, the coordinates of the points of intersection of the graph y = -1.5x + 3 with the coordinate axes are (2, 0) and (0, 3).
find y when x=0
find x when y=0