Answer:
gradient = - [tex]\frac{3}{4}[/tex] , y- intercept = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 4y = 5 ( subtract 3x from both sides )
4y = - 3x + 5 ( divide terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{5}{4}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex] and y- intercept c = [tex]\frac{5}{4}[/tex]
