Question

Drag the red and blue dots along the x-axis and y-axis to graph 4, x, plus, 7, y, equals, 204x+7y=20.


were are the 2 points

Answer 1

To graph the equation \(4x + 7y = 20\), we can find two points that satisfy this equation.

1. **Finding the x-intercept** (where \(y = 0\)):
\[
4x + 7(0) = 20 \implies 4x = 20 \implies x = 5
\]
So, the x-intercept is the point \((5, 0)\).

2. **Finding the y-intercept** (where \(x = 0\)):
\[
4(0) + 7y = 20 \implies 7y = 20 \implies y = \frac{20}{7} \approx 2.86
\]
So, the y-intercept is the point \((0, \frac{20}{7})\).

Thus, the two points you can use to graph the equation \(4x + 7y = 20\) are:
- Point 1: \((5, 0)\)
- Point 2: \(\left(0, \frac{20}{7}\right) \approx (0, 2.86)\)

You can plot these two points on a graph and then draw a line through them to represent the equation.