Question

I have to graph the equation y= - 2/3 x + 1 and I dont remember how. can you help

Answer 1

Given the equation:

$\text{ y = -}\frac{2}{3}x\text{ + 1}$

To be able to graph the equation, let's identify at least two points that pass through the graph of the equation. We can get this by getting them at two conditions: when x = 0 and y = 0.

At x = 0:

$\text{ y = -}\frac{2}{3}x\text{ + 1}$$\text{ y = -}\frac{2}{3}(0)\text{ + 1}$$\text{ y = 1}$

Therefore, Point A: (0,1) = x1,y1.

At y = 0:

$\text{ y = -}\frac{2}{3}x\text{ + 1}$$\text{0 = -}\frac{2}{3}x\text{ + 1}$$\frac{2}{3}x\text{ = 1}$$\text{ x = (}\frac{3}{2})(1)\text{ = }\frac{3}{2}$

Therefore, Point B: (3/2,0) = x2,y2.

Let's now plot the graph of the equation.