What us the y-intercept of the equation 4x + 5y =20

We know that when a line intercepts the y axis, x is 0. So substitute x as 0, which makes the equation 5y = 20 and divide both sides by 5, so y = 4 which is the y intercept.

Write equation in slope-intercept format, y = mx + b, where b is the y-intercept.

4x + 5y = 20

5y = -4x + 20

y = -4/5 x + 20/5

y = -4/5 x + 4

y = mx + b

y = -4/5 x + 4

b = 4

y-intercept = (0, 4)

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2