The equation for line j can be written as y=


5
7
x–10. Line k, which is parallel to line j, includes the point (

9,5). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

1 answer

The slope of line j is -5/7. Since line k is parallel to line j, it will have the same slope.
Using the point-slope form of a linear equation, we have:

y - y₁ = m(x - x₁)
y - 5 = -5/7(x + 9)

Expanding and rearranging, we get:

y = -5/7x - 45/7 + 5
y = -5/7x - 20/7

Therefore, the equation of line k in slope-intercept form is y = -5/7x - 20/7.
Similar Questions
  1. The equation for line p can be written as y=– 5 4 x–6. Line q includes the point (5, – 8) and is parallel to line p. What
    1. answers icon 1 answer
    1. answers icon 1 answer
  2. The equation of Line 1: 4x - 2y = 16The equation of Line 2: y = - 4/5 * x + 2 The equation of Line 3: y - 4 = 3(x + 5) Which
    1. answers icon 1 answer
  3. The equation of Line 1: 4x - 2y = 16The equation of Line 2: y = -4/5x + 2 The equation of Line 3: y - 4 = 3 (x + 5) is the
    1. answers icon 1 answer
more similar questions