Slope-intercept form of the equation of a straight line is:

y = m*x + b where m is the slope and b is the y-intercept value.

y = m*x + b

4x - 3y = -15

4x - 4x - 3y = -4x + -15

-3y = -4x + -15

-1/3 * -3y = -1/3 * ( -4x + -15)

y = -1/3*-4x + -1/3*-15

y = 4/3x + 5

m= 4/3

b = 5 = (0,5)

you ought to placed the equation in the form y=mx+b, m stands out as the slope and b stands out as the intercept 4x -3y = -15 upload -4x to the two factors -4x +4x-3y=-4x-15 -3y=-4x-15 (by using fact -4x+4x =0 on left hand section) divide each equation term by potential of -3 -3y/-3 =-4x/-3 -15/-3 y= (4/3) x +5 (by using fact -3/-3 =a million, -4/-3 = 4/3, -15/-3 = 5) this equation is in form y=mx +b slope=4/3 intercept=5

4x - 3y = -15

-3y = -4x - 15

y = (4/3)x + 5 <---Slope-intercept form (y = mx + b)

Slope: m = 4/3

(Up 4, over 3; rise over run)

y-intercept: b = +5

4x - 3y = -15

-3y = -4x -15

y = (4/3)x + 5

m = 4/3

b = 5