Answer
The slope is $-3$.
The $y$-intercept is $4$.
See the graph below.
Work Step by Step
This form of the equation is the slope-intercept form. $y=ax+b$
In this form, the slope of the line equals to the coefficient of $x$ (which is $a$) and the y-intercept equals to the constant $b$.
Therefore in the equation $y=-3x+4$
The slope is $m=-3$.
The $y$-intercept is $4$.
In order to graph the line, we have to sketch the y-intercept, that is $(0,4)$.
As the slope equals to $-3$, we can find another point that we can also sketch.
The slope is the change in $y$ for every $1$ unit change of $x$.
Thus, a slope of $-3$ means a $1$-unit increase in $x$ will result to a $-3$-unit increase (or $3$=unit decrease) in $y$.
Using $(0,3)$ as the starting point and a slope of $-3$, the coordinates of another point on the line would be:
$(0+1,4-3)=(1,1)$
Plot the two points then connect them using a straigiht line.
Refer to the graph above,
