An equation of a line with a slope of - 4/5 that passes through the point (5,3)

y = -(4/5)x + 7

Step-by-step explanation:

recall that the point-slope form of a linear equation is given as

y - y₁ = m (x - x₁)

in our case, we are given

slope, m = -4/5

and a point (x₁, y₁) = (5,3)

hence we simply substitute these values into the equation

y - y₁ = m (x - x₁)

y - 3 = -(4/5) (x - 5)    (we will simplify this to convert to slope-intercept form)

y - 3 = -(4/5) (x) - (-4/5)(5)

y - 3 = -(4/5)x +4   (add 3 to both sides)

y = -(4/5)x +4  +3

y = -(4/5)x + 7

p

step-by-step explanation:

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.