Question

Write an equation for the line that has a slope -8/9 and goes through the point (-7, 7)

Answer 1

Answer:

y = (-8/9)x + 0.77777

Step-by-step explanation:

We already know the slope, so the only thing left to find is the y-intercept.

To find the y-intercept, we can plug in the slope and point to the slope-intercept form equation (y = mx+b, where m=slope and b=y-int.)

y   =     m *  x    + b

(7) = (-8/9)*(-7)   + b

Now, just solve for b!

(7) = (-8/9)*(-7)   + b

7 = 56/9 + b

7 - (56/9) = b

b = 0.777777 (repeating decimal, usually signified by a little line above the 7)

so now we just plug in the slope and y-intercept we found into y = mx + b.

y = mx + b

y = (-8/9)x + 0.77777

Answer 2

Answer:

Use the two point formula to find the equation of the line through two given points (x, y) and (X² X¹) is y-y¹/x-x² = y²-y¹/x²-x¹