1.graph equation y=4/5x
2.graph linear equation y=-1
3.find the slope of line -2x - 3y = 5
a. slope is
b. slope is undefined?
For #s 1 and 2: go to wolframalpha . com and type the equation.
For #3:
To get the slope, we convert the given equation into the form,
y = mx + b
where m is the slope and b is the y-intercept.
Therefore,
-2x - 3y = 5
-3y = 5 + 2x
y = 5/(-3) + 2x/(-3)
y = (-2/3)x - 5/3
Thus the slope = -2/3
Hope this helps :)
1. To graph the equation y = (4/5)x, plot several points on a coordinate plane by substituting different values of x into the equation and solving for y. For example, when x = 0, y = (4/5)(0) = 0. So, one point is (0, 0). Similarly, when x = 5, y = (4/5)(5) = 4. So, another point is (5, 4). Join these points with a straight line to represent the graph.
2. To graph the linear equation y = -1, plot a single point on the coordinate plane where y = -1. For example, one point is (0, -1). Draw a horizontal line passing through this point to represent the graph.
3. To find the slope of the line -2x - 3y = 5, we need to rearrange the equation in slope-intercept form, which is in the form y = mx + b. In this equation, "m" represents the slope.
Start by isolating the term with "y" on one side of the equation:
-3y = 2x + 5
Next, divide both sides of the equation by -3:
y = (-2/3)x - 5/3
Now, we can see that the slope of the line is -2/3. So, the answer to question 3a is "slope = -2/3".
If the equation had been given as -2x - 3y = 0 (without the +5), then the equation would be in standard form and not in slope-intercept form. In this case, the slope would be undefined, and the answer to question 3b would be "slope is undefined".