Question

Question 1 Find the equation for the line that passes through the points (2, 2) and (4, 6). Give your answer in point- slope form. You do not need to simplify. Submit Question Jump to Answer search​

Answer 1

Answer:

$y - 2 = 2(x - 2)$

Step-by-step explanation:

Equation of a line:

The equation of a line that passes through point $(x_0,y_0)$, in point-slope form is given by:

$y - y_0 = m(x - x_0)$

In which m is the slope.

Finding the slope:

To find the slope of a line, we need a pair of points. The slope is given by the change in y of these points divided by the change in x.

In this question:

Points (2,2) and (4,6).

Change in y: 6 - 2 = 4

Change in x: 4 - 2 = 2

Slope: $m = \frac{4}{2} = 2$

So

$y - y_0 = 2(x - x_0)$

I can consider any of these two points $(x_0,y_0)$, i will use (2,2). So

$y - 2 = 2(x - 2)$