Question

What is an equation in point slope form of the line that passes through points (4,5) and (-3,-1)?

Answer 1

Given: (4,5) = (x1, y1) and (-3,-1) = (x2, y2)
So slope \[\huge m = \frac{y_1-y_2}{x_1-x_2} = \frac{5-(-1)}{4-(-3)} = \frac{5+1}{4+3} \]
\[\huge \rightarrow m= \frac{6}{7} \]

Equation in point slope form is given as:

\[\huge y-y_1 = m(x-x_1)\]
\[\huge y-5 = \frac{6}{7}(x-4)\]
\[\huge 7( y-5) = 6(x-4)\]
\[\huge 7 y-35 = 6x-24\]
is the required eq in slope point form.

Answer 2

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