Question

Write an equation for a line in slope-intercept form that passes through the points (3, 4) and (1, -2).
y = x – 1
y = x + 1
y = 3x – 5
y = 3x + 5

Answer 1

its
y=3x-5

Answer 2

m = (y2-y1)/(x2-x1), and you have two ordered pairs (3, 4) and (1, -2) to plug in values from.

Solving yields m = 3

to find the equation for a line (in slope-intercept form), you may use:
y = m(x-x0) +y0

plug in values to get
y=3(x-3) + 4

which simplifies to option 3
y=3x-5