Question

What is the point-slope form of the equation for the line with a slope of 6/19 that passes through the point (−1,75)?

Answer 1

Answer:

The answer is

$y = \frac{6}{19} x + \frac{1431}{19}$

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

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

where

m is the slope

( x1 , y1) is the point

From the question the point is (−1,75) and slope 6/19 is

$y - 75 = \frac{6}{19} (x + 1) \\ y - 75 = \frac{6}{19} x + \frac{6}{19} \\ y = \frac{6}{19} x + \frac{6}{19} + 75$

We have the final answer as

$y = \frac{6}{19} x + \frac{1431}{19}$

Hope this helps you