Question

Write an equation in slope-intercept form of the line that passes through the given points.

Answer 1

y = m x + b standard equation of straight line

When x = 0 y = -1/2 from graph

y = m x - 1/2 equation becomes

Now when x = 2, y = 3.5 given

m = (y + 1/2) / x

m = (3.5 + .5) / 2 = 2 from given value

y = 2 x - 1/2 final value for straight line

Check: use x = 1 and y = 1.5

y = 2 * 1 - 1/2 = 1.5 calculated value agrees with given value