Question

The equation for line c can be written as y = -1/10 x + 5. Line d is parallel to line c and passes through (7, -1). What is the equation of line d? Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Answer 1

The equation of line d is y = (-1/10)x - 3/10.

Step-by-step explanation:

To find the equation of line d, which is parallel to line c, we need to use the same slope as line c. The slope of line c is -1/10, so the slope of line d will also be -1/10. Since line d passes through the point (7, -1), we can use the point-slope form of a linear equation to find the equation of line d.

Using the point-slope form, we have: y - y1 = m(x - x1)

Substituting the values, we get: y - (-1) = (-1/10)(x - 7)

Simplifying, we have: y + 1 = (-1/10)x + 7/10

To write the equation in slope-intercept form, we can isolate y by subtracting 1 from both sides, yielding: y = (-1/10)x + 7/10 - 1. Simplifying further, we get: y = (-1/10)x - 3/10