Question

What is the equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3?

Answer 1

Option B

The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3

$y + 3 = \frac{2}{3}(x -5)$

Solution:

The equation of line in point slope form is given as:

$y - y_1 = m(x-x_1)$

Where, "m" is the slope of line

Given that,

slope = 2/3

$m = \frac{2}{3}$

The line passes through (5, -3)

Substitute m = 2/3 and $(x_1, y_1)$ = (5, -3) in point slope form

$y - (-3) = \frac{2}{3}(x -5)\\\\y + 3 = \frac{2}{3}(x -5)$

Thus equation of line in point slope form is found