Question

Write the equation of a line in point slope form that has a slope of − 3/4 and passes through the point (4, 5). Please explain how you got the answer and what formulas you used.

Answer 1

I guess by slope, you mean gradient.

By knowing the gradient, and a coordinate at which the line passes through, we can use:

y - y1 = m(x - x1)

to get the equation of the line in the form (y = mx + c).


y - 5 = (-3 / 4)(x - 4)

y - 5 = (-3 / 4)x + 3


Rearrange.


y = (-3 / 4)x + 8