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

Equation of a line passing through two points (x1, y1) and (x2, y2) is given as:
\[\frac{y-y2}{x-x2}=\frac{y2-y1}{x2-x1}\]
here we have
\[(x2, y2)=(3, 4)\]
\[(x1, y1)=(1, -2)\]
Now let's substitute these in the equation
\[\frac{y-4}{x-3}=\frac{4-(-2)}{3-1}\]
Just simplify and you'll get the equation of the line