Question

14. What is an equation of the line that passes through

the point (8,3) and is perpendicular to the line 4x +
2y = 10?

Answer 1

y = 1/2x - 1

Explanation:

we can solve by first finding the 'slope'

we can solve the equation for 'y' to get:

2y = -4x + 10

y = -2x + 5

the coefficient of the x-value, -2, represents the slope

but the slope of a line perpendicular to another is the inverse reciprocal so we must use 1/2 for the slope

now we can input '8' for 'x' and '3' for 'y' and '1/2' for 'm' into the

formula y = mx + b

3 = 1/2(8) + b

3 = 4 + b

-1 = b

'b' is the point at which our line intersects the y-axis

answer: y = 1/2x - 1