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slega [8]
3 years ago
13

Please Help Please help. See the picture

Mathematics
1 answer:
Gwar [14]3 years ago
7 0

Answer:

• General equation of a line is as below:

{ \boxed{ \tt{y = mx + c}}} \\

→ m is the slope

{ \tt{slope =  \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\

• Consider points (0, 3) and (3, 0) from the graph:

{ \tt{slope =  \frac{0 - 3}{3 - 0} =  \frac{ - 3}{3}  }} \\  \\ { \tt{ \underline{ \:  \: slope =  - 1 \:  \: }}}

→ c is the y-intercept:

• consider point (0, 3):

{ \tt{y = mx + c}} \\ { \tt{3 = ( - 1 \times 0) + c}} \\ { \tt{c = 3}}

» <em>Therefore</em><em>,</em><em> </em><em>substitute</em><em> </em><em>to</em><em> </em><em>make</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em><em>of</em><em> </em><em>a</em><em> </em><em>line</em><em>:</em>

{ \boxed{ \boxed{ \tt{ \:  \: y =  - x + 3 \:  \: }}}}

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