Identify the slope and y intercept. Then, graph the linear equation.
`y-5=-3x`
Move with `m`. `m=`
The given equation is in the form `y - 5 = -3x`
To determine the slope and y-intercept, we need to rewrite the equation in slope-intercept form `y = mx + b`
First, let's isolate `y` by adding 5 to both sides of the equation:
`y = -3x + 5`
Now we can see that the slope (m) is -3 and the y-intercept (b) is 5.
The graph of the linear equation `y = -3x + 5` is as follows:
The slope of -3 means that for every increase of 1 in the x-coordinate, the y-coordinate will decrease by 3. The y-intercept of 5 means that the line intersects the y-axis at the point (0,5).
Graphically, it will appear as a straight line that starts at (0,5) and slants downwards to the left.