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ANEK [815]
2 years ago
14

2.) Use the Slope Intercept Form of a line to find the equation of the line from point C to point D.

Mathematics
2 answers:
mezya [45]2 years ago
8 0

First we need slope

  • C=(0,0)
  • D(7,12)

\\ \sf\longmapsto m=\dfrac{12-0}{7-0}

\\ \sf\longmapsto m=\dfrac{12}{7}

Put D co-ordinates on y=mx+b

\\ \sf\longmapsto 12=\dfrac{12}{7}(7)+b

\\ \sf\longmapsto 12=12+b

\\ \sf\longmapsto b=12-12

\\ \sf\longmapsto b=0

Now

slope intercept form.

\\ \sf\longmapsto y=\dfrac{12}{7}x

  • As b=0
mrs_skeptik [129]2 years ago
3 0

Answer:

• General equation of a line:

{ \rm{y = mx + b}}

Consider end points of line CD: (0, 0) and (7, 12):

• find the slope, m:

{ \rm{slope =  \frac{y _{2} - y _{1}  }{x _{2}  - x _{1} } }} \\  \\ { \tt{m =  \frac{12 - 0}{7 - 0} }} \\  \\ { \underline{ \tt{ \:  \: m =  \frac{12}{7}  \:  \: }}}

• using end point (0, 0), find the y-intercept, b:

{ \rm{y = mx + b}} \\  \\ { \rm{0 = ( \frac{12}{7}  \times 0) + b}} \\  \\ { \tt{b = 0}}

• therefore, equation of line CD is;

{ \boxed{ \boxed{ \tt{ \:  \: y =  \frac{12}{7}x \:  \:  }}}}

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