Question

Write an equation of the line that passes through the points (0,4) and (2,10).

Answer 1

First you find the slope:

(10-4)/2 = 6/2 = 3

Then you write a point-slope equation:

y-4=3x

in slope-intercept form:

y=3x+4

Answer 2

The equation of the line is y = 3x + 4.

Explanation:

First find the slope of the line:

Slope (m) = rise / run

= difference in y coordinates / difference in corresponding x coordinates

= (10-4) / (2 - 0)

= 6/2

= 3..

The line is written as

y = m x + b

We have just found m (= 3). Now we find the value of b by substituting the point (0, 4) into this equation.

4 = 3(0) + b

b = 4.

So the required equation is y = 3x + 4.