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The steepness of a line can be measured as the slope of a line. The letter 'm' is used to denote the slope and it can be expressed as m= (y coordinate of A- y coordinate of B)/ (x coordinate of A- x coordinate of B). A and B are two points on the line.
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What is the point-slope formula and how is it used?
Given a straight line with slope m and a point (p,q) on the line, the point-slope formula of the line is (y - q) = m(x - p) It is used to represent a straight line in the Cartesian plane. This allows techniques of algebra to be used in solving problems in geometry.
What is the slope of the line that passes through 0 1 and is parallel to y 5 x 3?
The slope of any line parallel to another line is the slope of that line. In the form y = mx + c, the coefficient of x, ie the m, is the slope of the line. Thus any line parallel to y = 5x + 3 has slope 5.
How do you find the equation of a line that is perpendicular to y equals 9 divided by 8x plus 1 and passes through the point 18 -8?
The "point slope" formula would be used. This is Y-Y1=m(X-X1) where Y1 and X1 are points the line passes through. M is the slope, so to find the slope of a line perpendicular, take it's opposite reciprocal which would be -8x/9. So Y-(-8)=-8/9(X-18) distribute -8/9 into X-18 and add the 8 on the left side of the = to get the slope intercept form.
Which expression can be used to find 38 percent of 22?
You can find 38 percent of 22 with the expression 22*38/100
What is slope and why is the letter m used to represent slope in formulas?
The slope of a graph is a measure of the rate at which it rises. It is measured as the "rise"/"run" which is the ratio of the increase in height for each unit move in the horizontal direction. The slope of a line going from bottom left to top right is positive. "M" stood for the Modulus of slope.
What relationship is used to find the slope of a line?
slope=rise over run
What is the formula used to find slope?
The slope of a straight line equation is: y2-y1/x2-x1
What is the point-slope formula and how is it used?
Given a straight line with slope m and a point (p,q) on the line, the point-slope formula of the line is (y - q) = m(x - p) It is used to represent a straight line in the Cartesian plane. This allows techniques of algebra to be used in solving problems in geometry.
Why can't a vertical line be used to represent rate of change?
the rate of change is related to the slope; the higher the slope, the higher the rate. If the line is vertical, that is infinite slope or infinite rate of change which is not possible
Graphing linear equation using the slope and y-intercept of the line?
The y-intercept, together with the slope of the line, can also be used in graphing linear equations. The slope and y-intercept of a line can be obtained easily by inspection if the equeation of the line is of the form y=mx+b where m is the slope and b is the y-intercept.
What best explains how a plot of concentration vs time for a reactant of a chemical reaction can be used to determine the instantaneous rate of a reaction at time equals 10 s?
The slope of the tangent line to the concentration vs. time curve at t=10 sec represents the instantaneous rate of the reaction at that specific time. By calculating this slope, you can determine how quickly the reactant is being consumed or produced at t=10 sec. This provides a snapshot of the reaction's speed at that moment.
What is the slope of a curve?
Slope of a Curve A number which is used to indicate the steepness of a curve at a particular point.The slope of a curve at a point is defined to be the slope of the tangent line. Thus the slope of a curve at a point is found using the derivative
What is the slope of the line that passes through 0 1 and is parallel to y 5 x 3?
The slope of any line parallel to another line is the slope of that line. In the form y = mx + c, the coefficient of x, ie the m, is the slope of the line. Thus any line parallel to y = 5x + 3 has slope 5.
How do you find the equation of a line?
The equation of line can be easily made if the slope and y-intercept are known, in the form of y equals mx plus b, where m is the slope and b is the y-intercept. The quadratic equation may need to be utilized if the previous equation cannot be used.
Why is point slope form important?
Point Slope form is important because it can give us another set of coordinate pairs when we are only given one. When you have the two coordinate pairs, we are able to find the slope of the line using Y2-Y1 ------- X2-X1 Note: The slope is used to find how much y changes(increase/decreases) when x increases by one.
Can the point slope formula be used to find an equation of any line?
Point-slope refers to a method for graphing a linear equation on an x-y axis. When graphing a linear equation, the whole idea is to take pairs of x's and y's and plot them on the graph. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Point-slope form is also used to take a graph and find the equation of that particular line. Point slope form gets its name because it uses a single point on the graph and the slope of the line. Think about it this way: You have a starting point on a map, and you are given a direction to point. You have all the information you need to draw a single line on the map. The standard point-slope equation looks like this: It should be noted that "y1" does not mean y multipled by 1. In this case it means "y sub one", which is the y value for the point you will be using. The variable m is the slope of the line
What best explains how a plot of concentration vs time for a reactant of a chemical reaction can be used to determine the instantaneous rate of a reaction at time 10 s?
1) Find time = 10 s on the curve. 2) Draw a line tangent to the point time = 10 s on the curve. 3) Use two points on the tangent line to find the slope of the line. 4) The slope of the line is the instantaneous rate in M/s.
