The equation of line v is y=x+
1
7
. Parallel to line v is line w, which passes through the point (
–
1,
–
2). What is the equation of line w?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Since line w is parallel to line v, it will have the same slope as line v. The slope of line v is 1.
We can use the point-slope form of a linear equation to find the equation of line w:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line.
So, plugging in the values, we get:
y - (-2) = 1(x - (-1))
y + 2 = x + 1
Now, we can write this equation in slope-intercept form:
y = x + 1 - 2
y = x - 1
Therefore, the equation of line w in slope-intercept form is y = x - 1.