Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 2y = - 3 into this form
Subtract x from both sides
- 2y = - x - 3 ( divide all terms by - 2 )
y = 
x + 
← in slope- intercept form
with m =
• Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = - + c ⇒ c = 2 + = 
y = x + ← in slope- intercept form
Multiply through by 2
2y = x + 5 ( subtract 2y from both sides )
0 = x - 2y + 5 ( subtract 5 from both sides )
- 5 = x - 2y, thus
x - 2y = - 5 ← in standard form
Answer:
-2
Step-by-step explanation:
Answer:
y = 3 and x = - 6
Step-by-step explanation:
y + 4 = 0 ( subtract 4 from both sides )
y = - 4
this is the equation of a horizontal line, parallel to the x- axis.
a parallel line will also be horizontal with equation
y = c ( c is the value of the y- coordinates the line passes through )
the line passes through (- 6, 3 ) with y- coordinate 3 , then
y = 3 ← equation of parallel line
a line perpendicular to the given line will be a vertical line with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (- 6, 3 ) with x- coordinate - 6 , then
x = - 6 ← equation of perpendicular line
The answer is 5 and 19 over 500....5 19/500
