More information would be nice
Answer:
y = 2x + 2
Step-by-step explanation:
<h3>
<u>Reading</u><u> </u><u>the</u><u> </u><u>graph</u><u>!</u></h3>
- The line shown in the figure cuts the y-axis 2 units above the origin, I.e.,
the point (0, 2)
- The line also meets the x-axis two units before the origin, I.e.,
the point (-1, 0)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3><u>Intercepts</u><u>:</u></h3>
<em>When a line </em><em>meets</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>axes</em><em> </em><em>(</em><em>x-axis</em><em> </em><em>and</em><em> </em><em>y-axis</em><em>)</em><em>,</em><em> </em><em>it</em><em> </em><em>forms</em><em> </em>intercepts.
There are two types of intercepts:
- x-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>x-axis</em><em>)</em>
- y-intercept (<em>when</em><em> </em><em>the</em><em> </em><em>line</em><em> </em><em>meets</em><em> </em><em>the</em><em> </em><em>y-axis</em><em>)</em>
Each of their length is equal to their distance from the Origin(0, 0)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3><u>Equation of a line (intercept form):</u></h3>
If the x-intercept is denoted by "a" and y-intercept by "b", the equation if such a line is given by:

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<h3>
<u>Equation</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>in</u><u> </u><u>question</u><u>:</u></h3>
- x-intercept (a) = -1
- y-intercept (b) = 2

<em>The</em><em> </em><em>sign</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>denominator</em><em> </em><em>is</em><em> </em><em>taken</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>numerator</em><em>:</em>

<em>Taking</em><em> </em><em>LCM</em><em>:</em>

<em>Cross</em><em> </em><em>multiplying</em><em>:</em>

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
<em>Isolating</em><em> </em><em>y</em><em>:</em>
<em>
</em>
That's the equation of the given line!
1) 5x-1=x+115
5x-x=115+1
4x=116
x=116/4
x=29 (Answer)
2) 3+5q=9+4q
5q-4q=9-3
q=6 (Answer)
3) 2b+4=-18-9b
2b+9b=-18-4
11b=-22
b=-22/11
b=-2 (Answer)
Hope this helps
Answer:
Step-by-step explanation:
It appears to be the last step there that has evaded you. In the second line of work, you can see that what's in each set of parenthesis is exactly the same. Because of this, it is common and can be factored out. What's left is the 4x and the +5:
(5x - 3)(4x + 5)
That's factoring by grouping. It only works with polynomials that have an even number of terms so you can group them together in 2's.
★ Sigma Operator ★
Option C is the correct answer of the above summation series
Description -
Upper limit of sigma - ∞ [ where to stop ]
Lower Limit - 10 [ Where to start ]
Argument = n²
Hence we'll obtain - 100 + 121 + ... ∞