What is the equation of the line in point-slope form containing the points (4, -1) and (10, 0)?

The equation of the line in point-slope will be:

Step-by-step explanation:

Given the points

Finding the slope between  (4, -1) and (10, 0)

We know that the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept

Using the slope-intercept form to find the y-intercept 'b'

substituting m = 1/6 and the point (4, -1)

subtract 2/3 from both sides

now substituting b = -5/3 and m = 1/6 in the slope-intercept form

Therefore, the equation of the line in point-slope will be:

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.