Question

Write an equation for a line on the graph that passes through the points (0.4) and (12,16)

Answer 1

y = x + 4

Explanation:

An equation for a line looks like:

=> y = mx +b

=> In this equation "m" is the slope.

=> "b" is the y-intercept.

To find the slope:

=> y/x - y1/x1

=> 16/12 - 4/0

=> 16 -4 / 12 - 0

=> 12 / 12

=> 1

So, the slope is 1.

Now our equation looks like:

y = 1x + b

=> y = x + b

Let's take some the values of "x" and "y" of (0,4)

So, our now look like:

=> 4 = 1 (0) + b

=> 4 = b

So, b (y-intercept) = 4

Now, our final equation is:

=> y = x + 4

Answer 2

`y = x + 4`

Explanation:

Use the two-point form of the equation of a line.

`y - y_1 = (y_2 - y_1)/(x_2 - x_1)(x - x_1)`

`y - 4 = (16 - 4)/(12 - 0)(x - 0)`

`y - 4 = (12)/(12)x`

`y - 4 = x`

`y = x + 4`