Question

topic test: writing the equation of a line
writing the equation of a line
topic: writing the equation of a line
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
write the equation of the line that passes through (-9, -4) and (-6, -2) in slope - intercept form.
○ $y = \frac{3}{2}x + 7$
○ $y = -\frac{2}{3}x - 6$
○ $y = \frac{2}{3}x + 2$
○ $y = \frac{2}{3}x - 6$

Explanation:

Step1: Calculate the slope

Given points $(-9, -4)$ and $(-6, -2)$, slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - (-4)}{-6 - (-9)} = \frac{2}{3}$

Step2: Find the y-intercept

Use point $(-9, -4)$ and $m = \frac{2}{3}$ in $y = mx + b$: $-4 = \frac{2}{3}(-9) + b \Rightarrow -4 = -6 + b \Rightarrow b = 2$

Step3: Write the equation

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

Answer:

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