Q:

what is the equation of the line described below written in slope-intercept form the line passing through the point (-1,5) and parallel to the line whose equation is x + y = 10y=x-4y=x+4y=-x+4​

Accepted Solution

A:
The correct answer is y=-x+4​Further explanation:Given equation of line is:[tex]x+y = 10[/tex]Comparing it with the standard point-slope form[tex]y = mx+b[/tex]We gety = -x+10Som = -1As the new line is parallel to given line it will also have m=-1 as slope of two parallel lines is equalFor finding b, we will put the point and value of m in standard form[tex]y = mx+b\\5 = (-1)(-1) + b\\5 = 1+b\\5-1 = b\\b=4[/tex]Hence the equation will be:[tex]y = (-1)x+4\\y = -x+4[/tex]The correct answer is y=-x+4​Keywords: Slope, Equation of line, Point-slope formLearn more about Point-slope form of equation of line at:brainly.com/question/4838384brainly.com/question/4874740#LearnwithBrainly