Write an equation ​(a) in​ slope-intercept form and ​(b) in standard form for the line passing through ​(-3​,5​) and parallel to x + 4y =7y

Question

Write an equation ​(a) in​ slope-intercept form and ​(b) in standard form for the line passing through ​(-3​,5​) and parallel to x + 4y =7y

Answer 1

x+4y=7y

3y = x

y=(1/3)x where 1/3 = m = slope

y=(1/3)x + b, fill in the point to solve for b

5=(1/3)(-3) + b

b =6

y=(1/3)x + 6 is the line through the given point parallel to x+4y=7y