Identify the slope and y intercept. Then, graph the linear equation.
`y=-\frac{5}{3}x+4`
Begin with `b`. `b=`
Move with `m`.`m=`
The equation is in slope-intercept form `y=mx+b`, where `m` represents the slope and `b` represents the y-intercept.
Comparing the given equation `y=-\frac{5}{3}x+4` with the slope-intercept form, we can determine that:
`m = -5/3` and `b = 4`.
To graph the equation, we can start by plotting the y-intercept, which is (0, 4). From there, we can use the slope to find another point on the line.
The slope `m = -5/3` means that for every unit increase in x, y will decrease by 5/3 units. So we can find another point by moving 3 units to the right and 5 units down from the y-intercept.
Starting from (0, 4), we can move to the point (3, -1).
Plotting these two points and drawing a line through them, we get: