Question

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

y = y equals StartFraction one-half EndFraction x plus 2.x + 2
y = y equals StartFraction one-half EndFraction x minus 4.x – 4
y = y equals StartFraction one-half EndFraction x plus StartFraction 5 Over 2 EndFraction.x +
y = y equals StartFraction one-half EndFraction x minus StartFraction 7 Over 2 EndFraction.x –

Answer 1

Start with y − 3 = (1/2)(x − 1).

Expand: y − 3 = (1/2)x − 1/2.

Add 3: y = (1/2)x − 1/2 + 3 = (1/2)x + 5/2.

Answer: y = (1/2)x + 5/2.