Graph the linear equation
5. y = 3x + 3
My answer: D (probably wrong)
6. Find the slope of the line through (-9,-10) and (-2, -5)
A: -5/7
B: 7/5
C: 5/7
D: -7/5
#5, can't see the graphs, but should have a y-intercept of 3, leaning to the right with a slope of 3
6.
slope = (-10 -(-5))/(-9 - (-2))
= -5/-7
= 5/7
#5 I have no idea, since I can't see the graph. It will slope up to the right, and pass through (0,3) and (-1,0)
#6 (-5+10)/(-2+9) = 5/7
Thanks I lot :)
You really helped
To graph the linear equation y = 3x + 3, you can follow these steps:
1. Start by choosing a set of values for x. For example, you can choose -3, -2, -1, 0, 1, 2, 3, etc. These values will help us determine corresponding values for y.
2. Plug the chosen values of x into the equation y = 3x + 3 to calculate the corresponding values of y. For example, if x = -3, then y = 3(-3) + 3 = -6. Repeat this for all the chosen x values.
3. Plot the corresponding points (x, y) on a coordinate grid. For example, if you have the point (-3, -6), you would place a dot on the grid at x = -3 and y = -6.
4. Connect the dots to form a straight line. Since the equation y = 3x + 3 is linear, the graph will be a straight line.
Now, let's move on to finding the slope of the line passing through the points (-9, -10) and (-2, -5).
We can use the formula for slope, which is given by:
slope = (change in y) / (change in x)
To find the change in y, subtract the y-coordinates of the two points:
change in y = (-5) - (-10) = 5
To find the change in x, subtract the x-coordinates of the two points:
change in x = (-2) - (-9) = 7
Therefore, the slope of the line passing through (-9, -10) and (-2, -5) is:
slope = 5/7
So, the correct answer is C: 5/7.