Answer:
y= x+1
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
Gradient of line = [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Using the above formula,
Gradient
[tex] = \frac{6 - 4}{5 - 3} \\ = \frac{2}{2} \\ = 1[/tex]
Thus m=1. Substitute m=1 into the equation:
y= 1x +c
y= x +c
Susbt. a coordinate.
When x=3, y=4,
4= 3 +c
c= 4-3
c=1
Thus, the equation of the line is y= x+1.
