Question

Find the gradient and y intercept of 3x+4y=5

Answer 1

Answer:

gradient = - $\frac{3}{4}$ , y- intercept = $\frac{5}{4}$

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 = - $\frac{3}{4}$ x + $\frac{5}{4}$ ← in slope- intercept form

with slope m = - $\frac{3}{4}$ and y- intercept c = $\frac{5}{4}$