Question

question 3
what is the equation of the following line? be sure to scroll down first to see all answer options.
a. $y=2x$
b. $y=7x$
c. $y=-7x$
d. $y=\frac{2}{7}x$
e. $y=-2x$
f. $y=\frac{1}{7}x$

question 4
what is the equation of the following line? be sure to scroll down first to see all answer options.
a. $y=-\frac{4}{3}x$
b. $y=-3x$
c. $y=-\frac{3}{4}x$
d. $y=-4x$
e. $y=\frac{1}{4}x$
f. $y=3x$

Explanation:

Question 3:

Step1: Identify line points

The line passes through $(0,0)$ and $(7,2)$.

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{2-0}{7-0}=\frac{2}{7}$

Step3: Write line equation

Since it passes through origin, $y=mx$.
$y=\frac{2}{7}x$

Question 4:

Step1: Identify line points

The line passes through $(0,0)$ and $(4,-3)$.

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-3-0}{4-0}=-\frac{3}{4}$

Step3: Write line equation

Since it passes through origin, $y=mx$.
$y=-\frac{3}{4}x$

Answer:

Question 3: D. $y=\frac{2}{7}x$
Question 4: C. $y=-\frac{3}{4}x$