Question

What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form? y = one-half x minus three-fourths y = one-half x + three-fourths y = three-fourths x minus one-half y = three-fourths x + one-halfy = one-half x minus three-fourths

y = one-half x + three-fourths
y = three-fourths x minus one-half
y = three-fourths x + one-half

Answer 1

y = one-half x + three-fourths

Explanation:

Answer 2

y = one-half x + three-fourths

Explanation:

The 2-point form of the equation of a line can be used for starters.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (11/12 -19/20)/(1/3 -2/5)(x -2/5) +19/20 . . . . fill in given values

y = ((55 -57)/60)/((5 -6)/15)(x -8/20) +19/20 . . simplify a little

y = (-1/30)/(-2/30)(x -8/20) +19/20 . . . . . . . . . . and a little more ...

y = 1/2x -4/20 +19/20

y = 1/2x +15/20

y = 1/2x +3/4 . . . . line in slope-intercept form