Question

Find the equation in slope-intercept form of the line satisfying the conditions. m = 6, passes through (2, -8)

Answer 1

y = m x + b is the standard form for a straight line

you have

y = 6 x + b if m = 6

Now when x = 2, y = -8 this is given

- 8 = 6 * 2 + b substituting given values

b = -8 - 12 = -20

y = 6 x -20 is the equation requested

Check;

-8 = 6 * 2 - 20

12 = 12 so this agrees

Answer 2

y=6x-20

Solution:

• First, let's write the equation in point-slope form:
• y-y1=m(x-x1)
• y-(-8)=6(x-2)

• y+8=6(x-2
• Convert to slope-intercept:

• y+8=6x-12
• y=6x-12-8
• y=6x-20

Hope it helps.

Do comment if you have any query.