Answer:
see explanation
Step-by-step explanation:
The slope m of the line = tan45° = 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , then
y = x + c
To find c substitute (2, 1 ) into the equation
1 = 2 + c ⇒ c = 1 - 2 = - 1
y = x - 1 ← equation of line
When x = 0 then y = 0 - 1 = - 1
The line passes through (0, - 1 )
<h2>
Hello!</h2>
The answer is:
The x-coordinate of the solution to the system of equations is:

<h2>
Why?</h2>
We can solve the problem writing both equations as a system of equations.
So, we are given the equations:

Then, solving by reduction we have:
Multiplying the first equation by 2 in order to reduce the variable "x", we have:


Now, substituting "y" into the first equation, to isolate "x" we have:

Hence we have that the x-coordinate of the solution to the system of equations is

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Answer:

Step-by-step explanation:
First, rewrite the given equation in the form of y=mx+c.
m is the gradient while c is the y-intercept.
3x-5y=8
5y= 3x -8

Thus, the gradient of the given equation is ⅗.
The product of the gradients of perpendicular lines is -1.
(gradient of line)(⅗) = -1
gradient of line= -1 ÷⅗
gradient of line= 

To find the value of c, substitute a coordinate.
When x=3, y=7,

7= -5 +c
c= 7+5
c= 12
Hence, the equation of the line is
.
Answer:
42
Step-by-step explanation:
11 - 4 = 7
49 - 7 = 42