Question

What is the equation of the line that passes through the points (3, -1) and (9,-8)? Write your answer in slope-intercept form.​

Answer 1

y = -7/6x + 2 = slope interept form 7x - 6y = 12 is standard form

Explanation:

The slope of the line is (-8 - -1) / (9 - 3)

= -7 / 6

Point slope form: y - y1 = m(x - x1)

Plugging in m = -7 /6 and the point (3, - 1):-

y - 1 = -7/6 (x + -3)

Slope-intercept form:-

y + 1 = -7/6(x + 3)

y = -7/6x + 3 - 1

y = -7/6x + 2

Standard Form:-

y = -7/6x + 2

Multiply through by 6:-

-6y = -7x + 2

7x - 6y = 12