find the slope and y intercept of line. 8 - 1/3y = 9x
solve for y.
-1/3 y=9x-8
multiply by -3
y=27x-24
check my thinking
slope is 9, y intercept is -24
thank you bobpursley got one can you help y =- 1/5x -5/4 thank you so much
Norma, did you check his thinking as he asked you to?
To find the slope-intercept form (y = mx + b) of a line given an equation in a different form, you need to rearrange the equation to isolate y.
The given equation is:
8 - 1/3y = 9x
Step 1: Start by isolating the term with y on one side of the equation.
Subtract 8 from both sides:
-1/3y = 9x - 8
Step 2: Multiply both sides by -3 to eliminate the fraction and make the coefficient of y positive.
(-3) * (-1/3y) = (-3) * (9x - 8)
Simplifying this gives:
y = -27x + 24
Now the equation is in the form y = mx + b.
Comparing this with the slope-intercept form, we can see that the slope (m) of the line is -27 and the y-intercept (b) is 24.