Which of the following is a point slope equation of a line that passes through the points (10,5) and (4,-7)?

B) y - 5 = 2(x - 10)

Step-by-step explanation:

Slop = (5+7)/(10-4) = 12/6 = 2

Point slope form:

y - 5 = 2(x - 10)

or

y + 7 = 2(x - 4)

For this case we have that the point slope equation of a line is given by:

Where "m" is the slope and is a point belonging to the line.

Then, we find the slope, for this we need two points:

We build the equation by choosing any of the points:

Option B

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.