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] Log in to Reply

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]