The equation of a line that passes through the given points (5, -2) and is
perpendicular to y = 7x - 8 is given by y + 2 = -1/7(x - 5).
What is a slope?
The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
- x and y are the points.
- m is the slope.
- c is the intercept.
y = mx + c ≡ y = 7x - 8
m₂ = 7
For perpendicularity, we have:
m₁ × m₂ = -1
m₁ × 7 = -1
m₁ = -1/7.
Next, we would use the point-slope form to write the equation of this line:
y - y₁ = m(x - x₁)
y - (-2) = -1/7(x - 5)
y + 2 = -1/7(x - 5).
Read more on slope here: brainly.com/question/1884491
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