To find the y-intercept, we can set x to 0 and solve for y:
y - 5 = -3(0)
y - 5 = 0
y = 5
So the y-intercept is 5.
To find the slope, we can rearrange the equation into slope-intercept form (y = mx + b), where m is the slope:
y = -3x + 5
Comparing this equation with y = mx + b, we see that the slope is -3.
To graph the equation, we can plot the y-intercept at (0, 5) and use the slope to find additional points on the line.
Using the slope of -3, we can use the rise over run method:
From the y-intercept (0, 5), we can go down 3 units and right 1 unit to get another point. This point is (1, 2).
Now, graph the line passing through both points (0, 5) and (1, 2).
The graph of the linear equation y - 5 = -3x is:
{{{ graph( 300, 300, -5, 5, -5, 10, -3x+5 ) }}}
y-5=-3x y intercept and slop
Then graph the linear equation
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