Question

The equation of line c is y=- 1/9 x-10. Line d includes the point (-9,-7) and is parallel to line c. 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.

Answer 1

To find the equation of a line parallel to line c, we can use the point-slope form of a linear equation. The slope of line d will be the same as the slope of line c, -1/9. Plugging in the values of a point on line d and the slope, we can convert the equation into slope-intercept form.

Step-by-step explanation:

To find the equation of a line parallel to line c, we need to determine the slope of line c. The slope of line c can be determined by comparing the coefficient of x in the equation, which is -1/9. Parallel lines have the same slope, so the slope of line d will also be -1/9. We can use the point-slope form of a linear equation to find the equation of line d:

y - y1 = m(x - x1)

Plugging in the values of the point (-9, -7) and the slope -1/9 into the equation:

y - (-7) = -1/9(x - (-9))

y + 7 = -1/9(x + 9)

Converting the equation into slope-intercept form:

y = -1/9x - 1