Question

practice assignment 4.1 linear functions

question 9

find the equation (in terms of (x)) of the line through the points (-3,7) and (4,-7)
(y =)

Explanation:

⚡ Using what you learned: slope-intercept and standard form · slope of a line

Step 1: Find the slope

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - 7}{4 - (-3)} = \frac{-14}{7} = -2 $$

Step 2: Find the y-intercept

Using the point-slope form with the point \( (-3, 7) \):

$$ y - y_1 = m(x - x_1) $$

$$ y - 7 = -2(x - (-3)) $$

$$ y - 7 = -2(x + 3) $$

$$ y - 7 = -2x - 6 $$

$$ y = -2x + 1 $$

Answer:

$$ -2x + 1 $$