Answer:
The given linear equation is -5x-3y=-7. To graph the equation, we need to find three points that satisfy the equation and then plot them on the graph.
Let's find the x and y intercepts first.
At x = 0, we have -3y = -7, which gives us y = 7/3. So the y-intercept is (0, 7/3).
At y = 0, we have -5x = -7, which gives us x = 7/5. So the x-intercept is (7/5, 0).
Now, let's choose another point. We can choose any value for x or y and solve for the other variable. Let's take x = 1.
-5(1) - 3y = -7
-3y = -2
y = 2/3
So the third point is (1, 2/3).
Now we can plot these three points on the graph and draw a line passing through them.
Here's the graph:
|
|
| . (1, 2/3)
|
| .
| (0, 7/3)
|
|_________________________
| |
7/5 -7/15
Explanation:
Already explained