Question 214764
Find slope-intercept form of the equation of the line with the following intercepts:


x-intercept: -7

y-intercept: 5


Step 1.  The slope-intercept form of the equation is given as y=mx+b where m is the slope and b is the y-intercept at point(0,5).  For  our example, b=5.


Step 2.  To find the slope we use the x-intercept which means it occurs at point (-7,0) or x=-7 and y=0.


Step 3.  Then 


{{{y=mx+b=mx+5}}}


{{{0=m*-7+5}}}


{{{0=-7m+5}}}


Add 7m to both sides of equation


{{{7m=-7m+5+7m}}}


{{{7m=5}}}


Divide 7 to both sides of equation


{{{7m/7=5/7}}}


{{{m=5/7}}}


Step 4.  ANSWER:  The equation of the line is {{{y=5x/7+5}}}}


I hope the above steps were helpful. 


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And good luck in your studies!


Respectfully,
Dr J