Answer
Slope = (3/4) = 0.75
y-intercept = 1
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
[tex]\begin{gathered} \frac{-4y}{-4}=\frac{-3x}{-4}+\frac{-4}{-4} \\ y=\frac{3x}{4}+1 \end{gathered}[/tex]Comparing this with y = mx + c,
we can see that
m = (3/4)
c = 1
Hope this Helps!!!
