Find the standard form for y intercept and slope?

Question

find the y intercept
3x-11y=-10

Answer 1

3x-11y = -10

Subtract 3x from each side.

3x-11y-3x = -10-3x

-11y = -10-3x

Divide each side by negitive 11.

-11y/-11 = (-10-3x)/-11

y = (10+3x)/11

y = 3x/11+10/11

Line equation is y = (3/11)x+10/11

Answer 2

Slope-intercept form line equation is y = mx + b, where m is slope and b is y-intercept.

The equation is 3x - 11y = - 10.

- 11y = - 3x - 10

11y = 3x + 10

y = (3/11)x + (10/11).

Compare the above equation with slope-intercept form line equation.

Slope (m) = 3/11 andy - intercept = 10/11.