Question

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

Answer 1

Answer:

$y = x + 4$

Step-by-step explanation:

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

$y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)$

$y - 4 = \dfrac{16 - 4}{12 - 0}(x - 0)$

$y - 4 = \dfrac{12}{12}x$

$y - 4 = x$

$y = x + 4$

Answer 2

Answer:

y = x + 4

Step-by-step 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