Question

1) The standard form of a linear equation is written as .

Answer 1

Answer:

$\displaystyle y=-\frac{a}{b}x+\frac{c}{b}$

Step-by-step explanation:

The equation of the line, expressed in slope-intercept form is:

$y=mx+y_o$

Where m the slope and yo the y-intercept.

Since we are given the line in standard form:

ax+by=c

To find the slope-intercept form, we just solve it for y:

$\boxed{\displaystyle y=-\frac{a}{b}x+\frac{c}{b}}$

Comparing the last equation with the slope-intercept form:

$\displaystyle m=-\frac{a}{b}$

$\displaystyle y_o=\frac{c}{b}$