Line c has an equation of y=
1
5
x–3. Line d, which is parallel to line c, includes the point (
–
1,1). What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
The slope of line c is 1/5 since the coefficient of x is the slope. Since line d is parallel to line c, it will have the same slope of 1/5.
Using the point-slope form of a linear equation, the equation of line d can be written as:
y - 1 = 1/5(x - (-1))
y - 1 = 1/5(x + 1)
y - 1 = 1/5x + 1/5
y = 1/5x + 1/5 + 1
y = 1/5x + 6/5
Therefore, the equation of line d in slope-intercept form is y = 1/5x + 6/5.