Question 184088
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Find the slope, x-intercept, and y-intercept for the line 1 x - 5 y + 11 = 0?
Answer:
a) Via Slope intercept form {{{y=mx+b}}}, where {{{m=Slope}}}:
Re-arranging eqn:
{{{1x-5y+11=0}}}----->{{{5y=1x+11}}}
{{{cross(5)y/cross(5)=(1x+11)/5}}}--->{{{y=highlight((1/5))x+(11/5)}}}, Slope=1/5
b) X-Intercept:
{{{F(y)=0}}}
{{{1x-5(0)+11=0}}}
{{{highlight(x=-11)}}}
c) Y -Intercept: In eqn {{{y=(1/5)x+highlight((11/5))}}}, Y-intercept=11/5
{{{f(x)=0}}}
{{{1(0)-5y+11=0}}}
{{{cross(5)y/cross(5)=-11/5}}}--->{{{highlight(y=11/5)}}}
To check, we see the graph:
{{{drawing(400,400,-14,6,-4,4,grid(1),graph(400,400,-14,6,-4,4,(1/5)x+(11/5)),green(circle(-11,0,.15)),green(circle(0,11/5,.15)))}}}
Thank you,
Jojo</pre>