Respuesta :

Explanation

The equation y = mx+b is a linear equation of a straight line where;

m is the slope

b is the intercept

Let us assume we want to find the equation of a line passing through the point (0,1) and (2, 7)

First get the slope m

m = y2-y1/x2-x1

m = 7-1/2-0

m = 6/2

m = 3

Get the y intercept 'b'

Substitute m = 3 and the point (0,1) into y = mx+b

1 = 3(0) + b

1 = 0+ b

b = 1

Get the required equation in the form y = mx+b

y = 3x + 1

Hence the required equation is y = 3x+1