Show that the equation Y -2= 4(3x+5) is a liner and then tell if it represents a proportional or nonproportional relationship be

Question

olasank [31]

3 years ago

10

Show that the equation Y -2= 4(3x+5) is a liner and then tell if it represents a proportional or nonproportional relationship be

tween X and y

Mathematics

1 answer:

lozanna [386] · Answer 1 · 2022-07-22T03:30:13+03:00

Answer:

y=12x+22 is linear but not proportional

Step-by-step explanation:

$y-2=4(3x+5)$

This is a linear equation because it has an x and y within the expression without exponents or other complex operators. We can rearrange and simplify the equation into slope-intercept form.

$y-2=4(3x+5)\\y-2=12x+20\\y-2+2=12x+20+2\\y=12x+22$

This linear equation follows the form y=mx+b where m is the slope and b is the y-intercept. For this function, m=12 and b=22. This is not a proportional relationship because the function's y-intercept is something other than 0.