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 = (1/2)x + 5/2

Step-by-step explanation:

y - 3 = (1/2)(x - 1) is in point-slope form.  To obtain the slope-intercept equivalent, solve this equation for y:

y = 3 + (1/2)x - 1/2, or

y = (1/2)x + 3 - 1/2, or

y = (1/2)x + 5/2

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step-by-step explanation: