3. Find the slope of each line with equation as given.
a) Y=4
b) X=2
Answers:
a) zero
b) undefined
4. Graph the following equations:
a) 3x-2y=6
answer: (2,0) and (0,-3)
b) 5x+3y=6 (need help with this one)
Are they correct and would need help with b.
They are correct
b) (1.2,0) and(0,20
Thank you bun, but how did you come up with that anser for B
let y=0, --> x= 6/5=1.2
let x=0 --> y = 6/3 = 2
thanks!
To find the slope of a line, you can use the equation y = mx + b, where m represents the slope. The slope indicates how steep a line is.
a) For the equation y = 4, it is a horizontal line where the y-coordinate is always 4. Since the line is horizontal, it has no vertical change, which means the slope is zero.
b) For the equation x = 2, it is a vertical line where the x-coordinate is always 2. Since the line is vertical, it has no horizontal change, which means the slope is undefined.
Now, let's move on to graphing the equation 5x + 3y = 6.
To graph this equation, we can rearrange it in the slope-intercept form of y = mx + b. Let's solve for y:
5x + 3y = 6
3y = -5x + 6
y = (-5/3)x + 2
We now have the equation in slope-intercept form, y = (-5/3)x + 2, where the slope is -5/3 and the y-intercept is 2.
To graph this line, start by plotting the y-intercept, which is the point (0, 2). This means that when x is 0, y is 2.
Next, use the slope to find additional points. The slope of -5/3 means that for every 3 units in the x-direction, there will be a change of -5 units in the y-direction.
From the y-intercept (0, 2), you can go down 5 units and right 3 units to find another point on the line. This point is (3, -3).
Now, plot these two points on the graph and draw a straight line connecting them. The line should pass through the points (0, 2) and (3, -3).
To verify if the answer is correct, you can substitute different values of x and y into the equation, such as (2, 0) and (0, -3), and see if they satisfy the equation 5x + 3y = 6.