Graph 4x + 3y =-3
x -intercept is a point where y = 0
y -intercept is a point where x = 0
x -intercept :
4 x + 3 y = - 3
4 x + 3 * 0 = - 3
4 x + 0 = - 3
4 x = - 3 Divide both sides by 4
x = - 3 / 4
y -intercept :
4 x + 3 y = - 3
4 * 0 + 3 y = - 3
0 + 3 y = - 3
3 x = - 3 Divide both sides by 3
y = - 1
The line passing through points ( - 3 / 4 , 0 )
and B
( 0 , - 1 )
Draw y Cartesian coordinate system.
Mark points :
( - 3 / 4 , 0 )
and
( 0 , - 1 )
and draw straight line.
Or go on
w o l f r a m a l p h a . c o m
when page be open in rectangle type :
plot 4 x + 3 y = - 3
and cick opltion =
You will see graph
3 y = - 3 Divide both sides by 3
To graph the equation 4x + 3y = -3, you can use the slope-intercept form of a linear equation, which is y = mx + b. However, the given equation is not in this form.
To convert it to slope-intercept form, follow these steps:
1. First, isolate the y variable by subtracting 4x from both sides of the equation:
3y = -4x - 3
2. Next, divide both sides of the equation by 3 to solve for y:
y = (-4/3)x - 1
Now that the equation is in slope-intercept form (y = mx + b), you can identify the slope and y-intercept:
The slope (m) is -4/3, which means that for every 1 unit increase in the x-coordinate, the y-coordinate will decrease by 4/3 units.
The y-intercept (b) is -1, which represents the point where the graph crosses the y-axis.
Now, to graph the equation:
1. Plot the y-intercept first, which is the point (0, -1). Since the y-coordinate is -1, put a point on the y-axis at -1.
2. Use the slope to find more points on the graph. Since the slope is -4/3, this means that starting from the y-intercept, you can move down 4 units (because the slope is negative) and to the right 3 units. This is called "rise over run" - you are rising 4 units and running 3 units.
From the y-intercept (0, -1), move down 4 units to (0, -5), and then move to the right 3 units to (3, -5). Put a point at this new location.
3. Repeat step 2 to find more points. You can choose any convenient numbers for x and use the slope to find corresponding y-values. For example, if you move 3 units to the right again, you will end up at (6, -5). Put a point at this location as well.
4. Connect all the points on the graph using a straight line. The graph should pass through the points (0, -1), (3, -5), (6, -5), and so on.
Your graph should now be complete, and it should be a straight line that slants downward from left to right.