Answer:

Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

The coefficient of the x is the slope

The slope of the perpendicular line is the negative reciprocal of m, thus

We know the second line passes through (2,3). That is enough information to find the second equation:


Operating

Simplifying

That is the equation in slope-intercept form. Intercept: y=4
Answer:
x = -2, y=1
Step-by-step explanation:
x-7y=-9---------------------equation 1
-x+8y=10-------------------equation 2
From equation 1, make x the subject of formula
x=7y-9----------------------equation 3
substituting x=7y-9 in equation 2,
-(7y-9)+8y=10
Expanding bracket
-7y+9+8y=10
Collecting like terms
8y-7y=10-9
y=1
substituting y=1 in 3
x=7(1)-9
x=7-9
x=-2
Answer:
Yes, the scale factor is 4.
Step-by-step explanation:
If you times the length, 3, and the width, 5, by 4, you'll get 12 as your length and 20 as your width.
the answer is y=4x-11
use y+1=4x-12
move 1 to negative because move to the other side
so the answer is y=4x-11
Answer:
The answer is 2
Step-by-step explanation:
Rate of change of function is given by :

For function y = 6,
rate of change =

because the function is independent of x.
For function y = 2·x + 7,
rate of change =

So, the rate of change of 2 is greater than rate of change of function 1 by 2 - 0 = 2.