A line has this equation: y = x + 7Write an equation for the parallel line that goes through (3.-5).​

The equation of line parallel to y = x + 7 is y=x-8Further explanation:Giveny = x+7The co-efficient of x in point-slope form of equation is the slope of the lineLet m1 be the slope of this lineThen[tex]m_1=1[/tex]The line parallel to this line will also have same slopeThe standard form of point-slope form is:[tex]y=mx+b[/tex]Putting the value of slope[tex]y=x+b[/tex]To find the value of b, put (3,-5) in equation[tex]-5=3+b\\b= -5-3\\b=-8[/tex]Putting the values of b and m in standard form[tex]y=x-8[/tex]Hence,The equation of line parallel to y = x + 7 is y=x-8Keywords: Parallel lines, point-slope form of lineLearn more about parallel lines at:brainly.com/question/5059091brainly.com/question/4939434#LearnwithBrainly