Answer:
y = 0.8x - 11.8 is the perpendicular line that goes through (6, -7)
Explanation:
Equation: 5x + 4y = 9
make y the subject:
4y = 9 - 5x
y = (9 - 5x)/4
y = 2.25 - 1.25x
Comparing with slope intercept form "y = mx + b" where 'm is slope and 'b' is y-intercept.
Here: slope is -1.25 and y intercept is 2.25
If line is perpendicular, the slope shall be negatively inverse.
slope : -(m)⁻¹ = -(-1.25)⁻¹ = 0.8
Equation:
y - y₁ = m(x - x₁)
y - (-7) = 0.8(x - 6)
y + 7 = 0.8x - 4.8 in point slope form
y = 0.8x - 4.8 - 7
y = 0.8x - 11.8 in slope intercept form
