Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
The formula of a slope:

Q1.
We have the equation of a line <em>p </em>in the standard form

Convert to the slope-intercept form:
<em>subtract 3x from both sides</em>
<em>divide both sides by (-3)</em>

The slope 
From the table we have the points (4, 3) and (7, 5). Calculate the slope of line <em>q</em>:

Divide the slope of <em>p</em> by the slope of <em>q</em>:

Q2.
Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:

Q3.
Parallel line have the same slope.
Calculate the slope from given points (-11, 5) and (-6, 1):

Answer:
52/63
Step-by-step explanation:
Here, we want to multiply two fractions
we have this as;
4/7 * 13/9
= 52/63
See attached photo for answers. let me know if you are doing rounding to a specific decimal.
1/2x+20=1/3x+30
Subtract 20 on both sides
1/2x=1/3x+10
Subtract 1/3x on both sides
1/6x=10
Multiply by 6 on both sides
X=60
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
<h3>How to apply translations on a given function</h3>
<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:
Horizontal translation
g(x) = f(x - k), k ∈
(1)
Where the translation goes <em>rightwards</em> for k > 0.
Vertical translation
g(x) = f(x) + k, k ∈
(2)
Where the translation goes <em>upwards</em> for k > 0.
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
To learn more on translations: brainly.com/question/17485121
#SPJ1