Q:

Find an equation of a line passing through the point (8,9) and parallel to the line joining the points (2,7) and (1,5).

Accepted Solution

A:
Answer:2x - y - 7 = 0Step-by-step explanation:Since the slope of parallel line are same.So, we can easily use formula,y - y₁ = m ( x ₋ x₁)where, (x₁, y₁) = (8, 9)and m is a slope of line passing through (x₁, y₁).and since the slope of parallel lines are same, so here we use slope of parallel line for calculation.and, Slope = m = [tex]\dfrac{y_{b}-y_{a}}{x_{b}-x_{a}}[/tex]here, (xₐ, yₐ) = (2, 7)and, [tex](y_{a},y_{b}) = (1, 5 )[/tex]⇒ m = [tex]\dfrac{5-7}{1-2}[/tex]⇒ m = 2Putting all values above formula. We get,y - 9 = 2 ( x ₋ 8)⇒ y - 9 = 2x - 16⇒ 2x - y - 7 = 0which is required equation.