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!
Answer:
y=1/2x+4
Step-by-step explanation:
to find the slope you need to know the change in y over the change in x
(0,4) and (8,8)
8-4/8-0
slope is 1/2
Answer:
y=3x+5
Step-by-step explanation:
The formula is y=mx +b if m is the slope then 3 goes there. If b is the y intercept then 5 goes there since (x,y)
Answer:
C is the answers for the question
Step-by-step explanation:
please give me brainlest
Answer:
f(2) = 12
Step-by-step explanation:
f(x = −x^2 + x + 14
Plug in:
f(x) = −2^2 + 2 + 14
Solve:
f(x) = −2^2 + 2 + 14
f(x) = -4 + 2 + 14
f(x) = -2 + 14
f(x) = 12
Hope this helped.