Question

Find the equation of the straight line through (3,4) and (5,6).

Answer 1

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 = $\frac{y1 - y2}{x1 - x2}$

Using the above formula,

Gradient

$= \frac{6 - 4}{5 - 3} \\ = \frac{2}{2} \\ = 1$

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.