Question

Find the slope and the y-intercept of the line.3x - 4y=-4Write your answers in simplest form.

Answer 1

Slope = (3/4) = 0.75

y-intercept = 1

Step-by-step explanation

The slope and the y-intercept format of writing the equation of a straight line is

y = mx + c

where

y = y-coordinates of a point on the line.

m = slope of the line.

x = x-coordinate of the point whose y-coordinate is y.

c = y-intercept of the line, that is, the value of y when x = 0

So, to obtain the slope and the y-intercept, we just express the given equation in the format that we want and simply get the slope and the y-intercept that we need.

3x - 4y = -4

Subtract 3x from both sides

3x - 3x - 4y = -3x - 4

-4y = -3x - 4

Divide through by -4

`\begin{gathered} (-4y)/(-4)=(-3x)/(-4)+(-4)/(-4) \\ y=(3x)/(4)+1 \end{gathered}`

Comparing this with y = mx + c,

we can see that

m = (3/4)

c = 1

Hope this Helps!!!