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 )
Given
+
= 1 ( multiply through by 2 to clear the fractions )
x + y = 2 ( subtract x from both sides )
y = - x + 2 ← in slope- intercept form
(a) with slope m = - 1
(b) with y- intercept c = 2
(c)
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation of PQ
To find c substitute (2, - 8) into the partial equation
- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6
y = - x - 6 ← equation of PQ
To show (- 1, - 5) lies on PQ, substitute x = - 1 into the equation and evaluate for y.
y = - (- 1) - 6 = 1 - 6 = - 5 ← the given y- coordinate
Thus PQ passes through (- 1, - 5 )
Answer:
+9
Step-by-step explanation:
Subtract 5 from both sides and divide -7/2
I’m pretty sure it’s 1/360 but don’t take my word for it I tried my best
Answer:
<h2><em><u>r</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>0</u></em><em><u>.</u></em><em><u>1</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
y = rx
<em><u>Hence</u></em><em><u>,</u></em>
=> rx = y
![= > r = \frac{y}{x}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20r%20%3D%20%20%5Cfrac%7By%7D%7Bx%7D%20)
<em>[</em><em>By</em><em> </em><em>putting</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>and</em><em> </em><em>y</em><em>]</em>
![= > r = \frac{1.4}{14}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20r%20%3D%20%20%5Cfrac%7B1.4%7D%7B14%7D%20)
=> <em><u>r = 0.1</u></em>
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>The</u></em><em><u> </u></em><em><u>constant</u></em><em><u> </u></em><em><u>variation</u></em><em><u> </u></em><em><u>r</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>0</u></em><em><u>.</u></em><em><u>1</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>