Question

Line p passes through points (7, 10) and (4, 14). Line q is parallel to line p. What is the slope of line q?

Answer 1

slope of line q = -
`(4)/(3)`

Explanation:

calculate the slope m of line p, using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (7, 10 ) and (x₂, y₂ ) = (4, 14) ← points the line passes through

substitute these values into the formula for m

m =
`(14-10)/(4-7)` =
`(4)/(-3)` = -
`(4)/(3)`

• Parallel lines have equal slopes

Then slope of line q = -
`(4)/(3)`