Question 187226
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Given: {{{y - 2 = (-1/2)(x - 1) }}}
Expand/distribute: (isolate "y")
{{{y=(-1/2)x+(1/2)+2=(-1/2)x+2.50}}}-->It follows Slope-intercept Form{{{system(y=mx+b)}}}, where {{{Slope=m=-1/2}}} & {{{Yintercept=2.5}}}
Standard Form then--->{{{(1/2)x+y-2.5=0}}}, Multiply by "2" to eliminate fraction: 2((1/2)x+y-2.5=0)={{{highlight(x+2y-5=0)}}}, Answer
Okay, we'll graph it to see:
Let fy=0---->{{{0=(-1/2)x+2.5}}}
{{{(1/2)x=2.5}}}---> cross multiply:
{{{x=2.50*2=red(x=5)}}}
let fx=0---->{{{y=(-1/2)(0)+2.5=red(y=2.50)}}}
We'll see the graph:
{{{drawing(300,300,-3,8,-3,8,grid(1),graph(300,300,-3,8,-3,8,(-1/2)x+2.5),blue(circle(5,0,.15)),blue(circle(0,2.50,.15)))}}}
Thank you,
Jojo</pre></font>