graph the line using its y-intercept and slope.
y+4x=8
y = -4x + 8
plot (0,8) , the y-intercept
since the slope if -4/1
on your graph from (0,8), count 1 unit to the right, then 4 units down. That is your second point.
Draw the line.
To graph the line using its y-intercept and slope, we need to manipulate the given equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Given equation: y + 4x = 8
Step 1: Subtract 4x from both sides to isolate the y term:
y + 4x - 4x = 8 - 4x
y = -4x + 8
Now our equation is in the form y = mx + b, where m = -4 (the coefficient of x) represents the slope, and b = 8 is the y-intercept.
Step 2: Plot the y-intercept:
The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is (0, 8) since the y coordinate is 8 when x is 0.
Step 3: Use the slope to find more points:
The slope of -4 tells us that for every unit increase in x, the y-value decreases by 4 units. So, from the y-intercept point (0, 8), we can move one unit to the right and four units down to plot another point. This gives us the point (1, 4).
Step 4: Connect the points:
Now we have two points: the y-intercept (0, 8) and the point (1, 4). We can plot these points on a graph and draw a line passing through them.