Write an equation of the line that passes through a pair of points:

a. y = x + 3
b. y = x-3
C. y = -x + 2
d. y=-x-2

Answer choice B

Step-by-step explanation:

This line passes through the points (4,1) and (5,2). The formula for a line in slope intercept form is y=mx+b, where m represents the slope and b represents the y coordinate of the y intercept. The slope can be found by comparing the rise with the run. When the line goes from (4,1) to (5,2), it rises 1 unit and runs (goes to the right) 1 unit. 1/1=1, so the slope of this line is 1. The y intercept can be seen to be at (0,-3), meaning that b=-3. Therefore, the formula is y=x-3 or answer choice B. Hope this helps!

B

Step-by-step explanation:

Our equation should be in the form y = mx + b, where m is the slope and b is the y-intercept.

The slope is found by taking any two points on the line and finding the change/difference in the y-coordinates and then dividing that by the change/difference in the x-coordinates.

Here, we're given two points: (4, 1) and (5, 2). Our slope will then be:

The slope is 1, so m = 1.

The y-intercept is the place where the graph intersects with the y-axis. Looking on the graph, that point is (0, -3), so the y-intercept is b - 3.

Plug these values into the equation:

y = mx + b

y = 1 * x + (-3)

y = x - 3

The answer is B.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

25.3

step-by-step explanation:

1st step

add 3+6

=9

multipy 9*3

=37