a line passes through the point (8,-4) and has a slope 3/4

Equation of a line passes through the point (8,-4) and has a slope 3/4 is: [tex]y=\frac{3}{4}x-10[/tex]Step-by-step explanation:Givenm = 3/4AndPoint =(8,-4)Slope-intercept form of equation of line is:[tex]y=mx+b[/tex]Putting the value of slope we get[tex]y=\frac{3}{4}x+b[/tex]To find the value of b, putting (8,-4)[tex]-4=\frac{3}{4}(8)+b\\-4=3*2 + b\\-4=6+b\\b=-4-6\\b=-10[/tex]Putting the values of b and m, we get[tex]y=\frac{3}{4}x-10[/tex]Hence,Equation of a line passes through the point (8,-4) and has a slope 3/4 is: [tex]y=\frac{3}{4}x-10[/tex]Keywords: Equation of line, SlopeLearn more about Slope-intercept form is:brainly.com/question/2821386brainly.com/question/2860697#LearnwithBrainly