Q1) If Q is directly proportional to P and Q = 28 when P = 4, (i) express Q in terms of P, (ii) find the value of Q when P = 5,
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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 )
• If m > 0, then the line slopes upwards from left to right ( increases )
• If m < 0, then the line slopes downwards from left to right ( decreases )
(a)
y + x = 3 ( subtract x from both sides )
y = - x + 3 ← in slope-intercept form
with m = - 1 ⇒ decreasing from left to right
(c)
y = 4x + 8 ← is in slope-intercept form
with m = 4 ⇒ increasing from left to right
the equation of a line in the form x = c represents a vertical line, where c is the value of the x-coordinates the line passes through
(b)
x - 5 = 0 ( add 5 to both sides )
x = 5 ← is a vertical line
the equation of a line in the form y = c represents a horizontal line, where c is the value of the y-coordinates the line passes through
(d)
= - 6 ( multiply both sides by 4 )
y = - 24 ← is a horizontal line