Question

Write the standard form of the equation of

Answer 1

Answer:

$5y +3x= 25$

$3y -2x= - 12$

Step-by-step explanation:

An equation in standard form is:

$Ax + By = c$

Solving (a):

Given

$m = -\frac{3}{5}$ --- slope

$b = 5$ --- y intercept

Required: Determine the equation

An equation has the form:

$y = mx + b$

Substitute values for m and b

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

Multiply through by 5

$5y = -3x + 25$

Add  3x to both sides

$5y +3x= 3x-3x + 25$

$5y +3x= 25$

Solving (b):

Given

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

$b = -4$ --- y intercept

Required: Determine the equation

An equation has the form:

$y = mx + b$

Substitute values for m and b

$y = \frac{2}{3}x -4$

Multiply through by 3

$3 * y = (\frac{2}{3}x -4) * 3$

$3y = 2x - 12$

Subtract 2x from both sides

$3y -2x= -2x+2x - 12$

$3y -2x= - 12$