when writing the equation of a line in slope-intercept form, how can you determine the value of m in y=mx+b if you know the coordinates of two points on the line?

y = -2.5 x + 6.5

Step-by-step explanation:

The equation of a line in slope-intercept form is written as

y = mx + b where m is the slope and b is the y-intercept.

a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:

m = (5 - 3 )  = 2

     -4 - (-1)    -3

Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):

y = mx + b

3 = -2 • -1 + b

3

3= 2 + b

3

7  = b

3

The equation of the line will be y = -2 x +  7

3 3

b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:

y = -2.5x + b

1.5 = -2.5 • 2 + b

1.5 = -5 + b

6.5 = b

The equation of the line will be:

y = -2.5 x + 6.5

water molecules will move from the side of higher water concentration to the side of lower concentration until both solutions are isotonic. at this point, equilibrium is reached. in an isotonic solution, the flow of water in and out of the cell is happening at the same rate.

hope this < 3