What is the slope of a line parallel to the line y 1 3x 2?
What is the slope of a line parallel to the line y 1 3x 2?
Using the slope-intercept form, the slope is 13 . All lines that are parallel to y=x3−2 y = x 3 – 2 have the same slope of 13 .
Which equation represents a line which is perpendicular to the Y axis?
A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.
How do you find a line through a point?
Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.
What is the equation of a line that passes through the point 6 1?
Put the equation in slope-intercept form: y = mx + b. Remember that m is the slope, b is the y-intercept and (x,y) is a point that the line passes through. When I substitute everything, it’ll give me y = -3x + b. It passes through point (6,-1) so let x = 6 and y = -1….
How do you find an equation perpendicular to a line and through a point?
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.
How do you solve parallel lines?
Parallel Lines Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.
What is the average rate of reaction?
The average rate of reaction is an average rate, obtained by taking the change in concentration over a time period. The rate at which chemical substances react varies greatly. Usually, a reaction rate involves the change in the concentration of a substance over a given period of time.
How do you find the rate constant k?
Zero-Order Reactions
- A zero-order reaction has a constant rate that is independent of the concentration of the reactant(s); the rate law is simply rate=k .
- rate=−d[A]dt=k.
- [A]=−kt.
- This is the integrated rate law for a zero-order reaction. Note that this equation has the form y=mx .
- 2NH3(g)→3H2(g)+N2(g)
How do you calculate the overall reaction rate?
Key Takeaways
- Reaction rate is calculated using the formula rate = Δ[C]/Δt, where Δ[C] is the change in product concentration during time period Δt.
- The rate of reaction can be observed by watching the disappearance of a reactant or the appearance of a product over time.
Why do we call slope a rate of change?
The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.
Is the average rate of change the derivative?
1 Answer. The average rate of change gives the slope of a secant line, but the instantaneous rate of change (the derivative) gives the slope of a tangent line. Also note that the average rate of change approximates the instantaneous rate of change over very short intervals.