Which of the following equations represents a line that passes through the points
(0,4) and (-8, 16)?
i. y = -3/2x +4
ii. 3x + 2y = 8

both are right

Step-by-step explanation:

okay so you already know that the y-intercept is 4 since a point is (0, 4)

but not to find the slope you can use the y2-y1/x2-x1

16 - 4/ -8 - 0 = 12/-8 = 3/-2

or

4 - 16/ 0 - (-8) = -12/8 = -3/2

it doesnt matter which you plug in first

so we know the slope (m) is -3/2 and the y-intercept (b) is 4, now to put it into an equation:

y = mx + b

y = -3/2x + 4

also im going to put this in slope-intercept form

3x + 2y = 8

-3x           -3x

2y = -3x + 8

/2         /2

y = -3/2x + 4

y = -3/2x + 4 = y = -3/2x + 4

so both answers equal each other, meaning they both are right

there is no image attacted

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: