Triangle QRS is reflected over y = 2. What are the coordinates of Q'?

(1,6)

Step-by-step explanation:

In order to reflect a point over a horizontal line, you need to count how many units it takes to reach that line (going vertically). Once you have that number, count that many units starting from that point on the line (again, going vertically), then that is your reflected point.

Counting from point Q to the line y = 2, it takes 4 units. So starting from that point on the line where I left off, I would count another 4 units, taking me to (1,6). The picture below explains it better visually.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: