Question

Given the equation y − 4 = fraction 3 over 4 (x + 8) in point-slope form, identify the equation of the same line in standard form

Answer 1

For this case we have the following equation of a line, of the point-slope form:

$y-4 = \frac {3} {4} (x + 8)$

We want to write the equation of the standard form:

$y = mx + b$

To do this, we manipulate the first equation:

$y-4 = \frac {3} {4} x + \frac {3} {4} *8\\y-4= \frac {3} {4} x + 6\\y = \frac {3} {4} x + 6 + 4\\y = \frac {3} {4} x + 10$

Thus, the equation in its standard form is given by:

$y = \frac {3} {4} x + 10$

Answer:

$y = \frac {3} {4} x + 10$