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:
y = -(3/7)x + 2
Step-by-step explanation:
(see attached)
recall that the slope-intercept form of a linear equation is
y = mx + b
where m = slope = given as -(3/7)
and b = y-intercept = 2
substituting these values into the eqation:
y = mx + b
y = -(3/7)x + 2
Answer: £60
Step-by-step explanation:
Natalie bought a pair of shoes for £54 which had been reduced by 10%.
To find the original cost, assume the original cost is x.
The discount would be: 10% * x
The expression would therefore be:
x - (10% * x) = 54
x - 0.1x = 54
0.9x = 54
x = 54 / 0.9
x = £60
50 = 25 * 2 = 5 * 5 * 2
44 = 22 * 2 = 11 * 2 * 2
Answer
Step-by-step explanation:
fc34