A line goes through points (0, 2) and (1, 1). What is the x-coordinate of the intersection of this line with the line y = 3x + 3?

The x-coordinate of the intersection of the lines is

Step-by-step explanation:

First you need to know the equation of the line that passes through the points (0,2) and (1,1).

The equation of the line in slope intercept form is y=m*x + b

By having two points, you can use them to find the slope m using the expression:

In this case (x1,y1)= (0,2) and (x2,y2)= (1,1). Replacing:

Now you can replace in the values of m, and the values of a point x and y into the equation y = mx + b to find the value of b.

1=(-1)*1 +b

So: 1=-1 +b

b=1+1

b=2

Then you have: y=-1*x +2

So you have the following system of equations:

Equating both equations you have:

-1*x+2= 3*x+3

Solving:

-1*x-3*x= 3-2

-4*x= 1

The x-coordinate of the intersection of the lines is

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

go and ask your mom to you