Question

Write an equation in point slope form for the line that passes through one of the following pairs of points. You may choose the pair you want to work with. Then use the same set of points to write the equation in standard form and again in slope intercept form point pairs are (5,1), (-3,4)., (0,-2),(3,3),(-2,-1),(1,2)

Answer 1

(5,1)(-3,4)
slope = (4 - 1) / (-3 - 5) = -3/8

y - y1 = m(x - x1)
slope(m) = -3/8
(5,1)...x1 = 5 and y1 = 1
now we sub
y - 1 = -3/8(x - 5) <=== point slope form

y - 1 = -3/8(x - 5)
y - 1 = -3/8x + 15/8
y  = -3/8x + 15/8 + 1
y = -3/8x + 15/8 + 8/8
y = -3/8x + 23/8 <=== slope intercept form

y = -3/8x + 23/8
3/8x + y = 23/8 ...multiply everything by 8
3x + 8y = 23 <==== standard form