Question

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.

Passing through (-3, -6) and (2,9)
What is the equation of the line in point-slope form?
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
What is the equation of the line in slope-intercept form?

Answer 1

slope-inercept form: y = 3x + 3 point-slope form: y - 9 = 3(x - 2)

Explanation:

slope-intercept form:

y2 - y1 / x2 - x1

9 - (-6)/ 2 - (-3)

= 3

y = 3x + b

9 = 3(2) + b

9 = 6 + b

3 = b

y = 3x + 3

point-slope form:

y - 9 = 3(x - 2)