Question

Which equation represents a line that has a slope of 1/3 and passes through the point (-2,1)

Answer 1

Answer:

The equation would be y - 1 = 1/3(x + 2)

Step-by-step explanation:

In order to find this, we simply plug the values we have into point slope form.

y - y1 = m(x - x1)

y - 1 = 1/3(x - -2)

y - 1 = 1/3(x + 2)

Answer 2

Answer:

Equation which represents a line that has a slope of 1/3 and passes through the point (-2,1) is:

$y=\dfrac{1}{3}x+\dfrac{5}{3}$

Step-by-step explanation:

Let the equation of line be y=mx+c

Where m is the slope and c is the y-intercept

⇒ m=1/3

and The line passes through (-2,1)

Putting it in equation

$1=\dfrac{1}{3}\times -2+c\\ \\c=1+\dfrac{2}{3}\\ \\c=\dfrac{5}{3}$

Hence, equation which represents a line that has a slope of 1/3 and passes through the point (-2,1) is:

$y=\dfrac{1}{3}x+\dfrac{5}{3}$