Question

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 =1/2 (x – 1). What is the slope-intercept form of the equation for this line?

y = 1/2x + 2
y = 1/2x – 4
y = 1/2x + 5/2
y =1/2x – 7/2

Answer 1

Slope is y = mx + b where m is the slope and b is the y intercept

So the two points are (-9, -2) and (1, 3)

m = y₂ - y₁ / x₂ - x₁ = 3 - (-2) / 1 - (-9) = 5 / 10 = 1/2

I don't remember how to find the y intercept so I used a calc. The y intercept is 5/2

So the equation would be y = 1/2x + 5/2 which is C