Question

find the equation of the joining the point 2 3 and -2 5​

Answer 1

Answer: $y=-\frac{1}{2} x+4$

Step-by-step explanation:

The given points are (2,3) and (-2,5). To find the equation, we should first find slope. To find slope, we use this formula $y=\frac{y_2-y_1}{x_2-x_1}$.

$y=\frac{5-3}{-2-2} =\frac{2}{-4}=-\frac{1}{2}$

Now that we have the slope, we can plug in one of the points to find the y-intercept.

$3=-\frac{1}{2} (2)+b$          [multiply]

$3=-1+b$               [add both sides by 1]

$b=4$

Now we know the equation is $y=-\frac{1}{2} x+4$.