Identify the slope and y intercept. Then, graph the linear equation.
y-5=-3x
The given equation is y-5=-3x.
Let's rewrite this equation in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.
To do this, we need to solve the equation for y:
y - 5 = -3x
Adding 5 to both sides:
y = -3x + 5
Comparing this equation with y = mx + b, we can see that the slope (m) is -3 and the y-intercept (b) is 5.
To graph the linear equation, we can plot the y-intercept (0, 5) on the y-axis.
Then, using the slope, we can find additional points:
For the slope of -3, we can go down 3 units and over 1 unit. This gives us the point (1, 2).
We can continue this pattern and find more points, or we can graph a straight line through the two determined points: (0, 5) and (1, 2).
The graph of the linear equation y-5=-3x is:
Graph:
*[illustration slope_intercept_graph]