Question

use the points \\((0, 5)\\) and \\((-2, 4)\\) to find the slope \\((m)\\) of the line and give the equation of this line. write the equation of the line in slope-intercept form \\((y = mx + b)\\).

answer:
\\(m =\\)
\\(y =\\)

Explanation:

Calculate the slope of the line

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 5}{-2 - 0} = \frac{-1}{-2} = \frac{1}{2} $$

Determine the y-intercept

$$
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$$

Write the equation in slope-intercept form

$$ y = \frac{1}{2}x + 5 $$

Answer:

Use the points (0, 5) and \((-2, 4)\) to find the slope (m) of the line and give the equation of this line. Write the equation of the line in slope-intercept form \((y = mx + b)\).

Answer:
\(m =\) <blank>\(\frac{1}{2}\)</blank>
\(y =\) <blank>\(\frac{1}{2}x + 5\)</blank>