Answer:
[tex]5y +3x= 25[/tex]
[tex]3y -2x= - 12[/tex]
Step-by-step explanation:
An equation in standard form is:
[tex]Ax + By = c\\[/tex]
Solving (a):
Given
[tex]m = -\frac{3}{5}[/tex] --- slope
[tex]b = 5[/tex] --- y intercept
Required: Determine the equation
An equation has the form:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = -\frac{3}{5}x + 5[/tex]
Multiply through by 5
[tex]5y = -3x + 25[/tex]
Add 3x to both sides
[tex]5y +3x= 3x-3x + 25[/tex]
[tex]5y +3x= 25[/tex]
Solving (b):
Given
[tex]m = \frac{2}{3}[/tex] --- slope
[tex]b = -4[/tex] --- y intercept
Required: Determine the equation
An equation has the form:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = \frac{2}{3}x -4[/tex]
Multiply through by 3
[tex]3 * y = (\frac{2}{3}x -4) * 3[/tex]
[tex]3y = 2x - 12[/tex]
Subtract 2x from both sides
[tex]3y -2x= -2x+2x - 12[/tex]
[tex]3y -2x= - 12[/tex]
