Question

What is the slope-intercept equation of the line that passes through (0, 2) and (6, 6)?

Answer 1

Answer: y= 4/6x or y = 2/3 x

Step-by-step explanation:

Answer 2

Answer:

The equation in Slope-intercept form:

$y = \frac{2}{3}x + 2$

Step-by-step explanation:

-Find the slope first, by using the slope formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

(where $(x_{1},y_{1})$ is the first point and $(x_{2},y_{2})$ is the second point).

-Use two given points  from the following problem for the slope formula:

$m = \frac{6-2}{6-0}$

-Then, solve the equation:

$m = \frac{6-2}{6-0}$

$m = \frac{2}{3}$

After you have the found the slope, use both the slope $\frac{2}{3}$ and the first point $(0,2)$ for the Point-slope formula:

$y - y_{1} = m (x-x_{1})$

(where $m$ is the slope and $(x_{1}, y_{1})$ is the first point).

-The equation in Point-slope form:

$y - 2 = \frac{2}{3} (x-0)$

Then, you solve:

$y - 2 = \frac{2}{3} (x-0)$

$y - 2 + 2= \frac{2}{3} (x-0) + 2$

$y = \frac{2}{3}x + 2$

-So, the equation in Slope-intercept form would be:

$y = \frac{2}{3}x + 2$