Question

A line passes through (-2,5) and has slope 1/3. what is an equation of the line in point-slope form?​

Answer 1

y = 1 3 x + 13 3

Explanation:

The equation of the line is

y = 1 3 x + 13 3

. To find other points on the line, simply plug in an x value, and solve for the corresponding y value.

Explanation:

To find other points on the line, we first have to find the equation for the line. We can easily use point-slope form:

y − y 1 = m ( x − x 1 )

y − 5 = 1 3 ( x 2 )

To put it in slope-intercept form, isolate y and simplify:

y= 1 3 ( x − 2 ) + 5

y = 1 3 x − 23 + 5

y = 1 3 x + 13 3

Answer 2

y
=
1
3
(
x
−
2
)
+
5
y
=
1
3
x
−
2
3
+
5
y
=
1
3
x
+
13
3