3x - 2y = 6
Your hint gives you a longer method of find the slope for the line. When we are given the equation of the line, we shouldn't bother to find two points. It's only when we are given a graph that using two points to find the slope is helpful.
To find the slope of 3x - 2y = 6, we first need to convert it into slope-intercept form.
Slope-intercept form is y = mx + b. Where m is the slope and b is the y-intercept.
If we solve for y in the equation they gave you, we have converted it into slope-intercept form and it will be easy to find the slope.
3x - 2y = 6
Add 2y on both sides.
3x = 6 + 2y
Subtract 6 on both sides.
3x - 6 = 2y
2y = 3x - 6
Divide by 2 on both sides.
y = (3/2)x - 3
This is now in the form of y = mx + b
y = (3/2)x - 3
y = mx + b
You can see that m = 3/2 and that b = -3
That means that the slope is 3/2 and that the y-intercept is -3.
The slope of the line 3x - 2y = 6 is 3/2 OR 1.5 OR 1 1/2.
Answer:
5.420
Step-by-step explanation:
to the nearest hundredth place means it will be between 20 & 30
the center number between 20 & 30 is 25
Since 24 is below 25 its closer to 20
Answer:
always first sum
Step-by-step explanation:
for example: 1+2/1-2=3
2+2/2-1=4
Answer:
4/21
Step-by-step explanation:
It should be a porpotion
Answer:
axis of symmtery: x = 3 or h = 3
Step-by-step explanation:
The vertex (h, k) of a parabola is the point wherein the graph intersects the axis of symmetry—the imaginary straight line that bisects a parabola into two symmetrical parts, where <em>x</em> =<em> h</em>.
- In the standard form of quadratic equation, y = ax² + bx + c, the equation of the axis of symmetry is:
.
- In the vertex form of the quadratic equation, y = a(x - h)² + k, the equation of the axis of symmetry is:
.
Regardless of whether the quadratic equation is in standard or vertex form, the x-coordinate (h) of the vertex determines the axis of symmtetry, hence<em>, </em><em>x = h. </em><em> </em>
Therefore, given that the vertex of a parabola is at point (3, 5), then it means that the axis of symmetry occurs at x = 3 or h = 3.