Write the equation of the linear function that passes through the points ( 2, 3) and ( −3, 7).

Answer 1

To find the equation of the linear equation passing through the given points (2,3) and (-3,7), we can use the formula for the equation of a line:

(y - y1) = m(x - x1)

where (x1, y1) is one of the points and m is the slope of the line. Firstly, we need to find the slope using the two given points:

m = (y2 - y1) / (x2 - x1)
m = (7 - 3) / (-3 - 2)
m = 4 / -5
m = -4/5

Now plugging in one of the points (2,3):

(y - 3) = -4/5(x - 2)
y - 3 = -4/5x + 8/5
y = -4/5x + 8/5 + 3
y = -4/5x + 8/5 + 15/5
y = -4/5x + 23/5

Therefore, the equation of the linear function passing through the points (2,3) and (-3,7) is y = -4/5x + 23/5.