The equation of a straight line is an equation that comes in the form of an algebraic equation. It is also referred to as Slope - Intercept form. It can be represented using the equation below:

Equation : y = mx + c

where:

m = Gradient

c = Slope of the line

The equation that shows how the price of a personal pizza y, depends on the number of toppings x is y = 7 + x

This question can be solved and represented using the equation of a straight line.

Let's represent

y = price of a personal pizza

x = number of toppings

The price for a plain cheese pizza = $7

The price for each of the toppings = $1

Therefore, the equation that shows how the price of a personal pizza y, depends on the number of toppings x is written as:

y = $7 + $1 * x

y = 7 + x

To learn more, visit the link below:

brainly.com/question/19662046

5 0

3 years ago

HELP ASAP!! Identify the matrix transformation of ΔPQR, which has coordinates P(−5, −2),Q(−6, −3), and R(−2, −3), for reflection

podryga [215]

Answer:

Matrix transformation = $\left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]$

Vertices of the new image: P'= (5,-2), Q'= (6,-3), R'= (2,-3)

Step-by-step explanation:

Transformation by reflection will produce a new congruent object in different coordinate. Reflection to y-axis made by multiplying the x coordinate with -1 and keep the y coordinate unchanged. The matrix transformation for reflection across y-axis should be: $\left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]$ .

To find the coordinate of the vertices after transformation, you have to multiply the vertices with the matrix. The calculation of the each vertice will be:

P'= $\left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]$ $\left[\begin{array}{ccc}-5\\-2\end{array}\right]$ = (5,-2)