Question

What is an equation that represents the line that passes through the point (-2, 2) and is parallel to

Answer 1

Answer:

$y = \frac{1}{3}x + 3$

Step-by-step explanation:

The slope of two parallel straight lines are the same.

Now, the slope of the line $y = \frac{1}{2} x + 8$ is $\frac{1}{2}$ as the straight line equation is in slope-intercept form.

Now, the equation of the straight line in slope-intercept form which is parallel to the above line is $y = \frac{1}{2} x + c$ ............. (1) , where c is any constant.

Now, point (-2,2) is on the line (1) {Given}

So, this point will satisfy the equation.

Hence, $2 = \frac{1}{2} (- 2) + c$

⇒ c = 3.

Therefore, the equation of the required straight line is $y = \frac{1}{3}x + 3$ (Answer)