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Straight line mx equals 5y plus 4 has same gradient as line 7x plus 6y plus 5 Find value of m?
mx = 5y + 4
7x + 6y + 5 = 0
If they have the same slope, then we know that Δy/Δx in the first line is equal to Δy/Δx in the second one. Let's solve the second equation for y then:
y = (5 + 7x) / -6
∴y = (-7/6)x - 5/6
So we know it's slope is -7/6. Now let's rearrange our other line appropriately:
y = (m/5)x - 4/5
So the slope of our second line is m/5, which we know is the same as the slope of our other line, -7/6. We can say then that:
m/5 = -7/6
∴m = -35/6 = -55/6 ≈ -5.8333...
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How do you find the exact value of the gradient of the curve with equation y equals 1 divide by 4 minus x2 at the point where x equals 1 over 2?
You find the gradient of the curve using differentiation. The answer is 0.07111... (repeating).
Can any 2 points on a straight line be used to find the gradient?
Yes beccause: (y1-y2)/(x1-x2) = gradient
Find the gradient y equals 5x?
y=mx+c m=gradient c= is the y intercept in ur case: y=5x so gradient = 5
How can you find the instantaneous acceleration of an object whose curve on the velocity time graph is a straight line?
It is the gradient (slope) of the line.
Why you differentiate problems in maths?
Firstly, and most simply, it may lead to another part of a problem or question or context.Secondly, and importantlyest, (i just invented that word it means most importantly) It can be used to find the gradient of a curve.As you may know, the gradient of a straight line is constanty=mx+c the gradient is mBut for a curve, the gradient is always changing.look at a graph of y=x2 and you will see that an infinite tangents make up the curve each with a different value for m.In short, when you differentiate a function or equation, you get the gradient function, which allows you to find the gradient at any point on the graph y=f(x)differentiate y=x2 (which is the same as find dy/dx)dy/dx=2xso the gradient on the curve y=x2 always 2 times the x value in question. At x=1 the gradient is 2. At x=2 the gradient is 4.In mechanics, if you draw a graph of displacement against time for a moving object, the GRADIENT is equal to the function of velocity. Plot velocity against time and the gradient is equal to Acceleration against time.In any circumstance where a curve is involved differentiation is needed to ind a gradient.Phew, hope that helps and answers your question
How do you find the exact value of the gradient of the curve with equation y equals 1 divide by 4 minus x2 at the point where x equals 1 over 2?
You find the gradient of the curve using differentiation. The answer is 0.07111... (repeating).
Can any 2 points on a straight line be used to find the gradient?
Yes beccause: (y1-y2)/(x1-x2) = gradient
Find the gradient y equals 5x?
y=mx+c m=gradient c= is the y intercept in ur case: y=5x so gradient = 5
How do you find the gradient of a straight line in a line graph?
See the many answers currently available. It equals the change in y divided by the corresponding change in x, as you go along any segment of the line.
How do you find the gradient of y equals 2x plus 3?
It's 2. your equation is y=mx+b, so the gradient, or slope, is the "m" in the equation.
How do you find the gradient of a line with the equation y equals 3x plus 2?
An equation such as y = mx + c is said to be in standard form. From such an equation, Gradient = coefficient of x = 3
How can you find the instantaneous acceleration of an object whose curve on the velocity time graph is a straight line?
It is the gradient (slope) of the line.
How do you find the gradient of a line using y equals 7x plus 2?
When the equation is given in the standard form: y = mx + c, the gradient is m. So here, y = 7x + 2 means m, the gradient, is 7.
What is the gradient of a triangle?
find the gradient
How would you find the gradient of y equals 3x plus 12?
Look at the coefficient of the x term: the gradient of y = 3x + 12 is 3.An equation in the form:y = mx + cis such that the gradient and y intercept can be read directly from it:m is the gradientc is the y intercept.thank you
Why you differentiate problems in maths?
Firstly, and most simply, it may lead to another part of a problem or question or context.Secondly, and importantlyest, (i just invented that word it means most importantly) It can be used to find the gradient of a curve.As you may know, the gradient of a straight line is constanty=mx+c the gradient is mBut for a curve, the gradient is always changing.look at a graph of y=x2 and you will see that an infinite tangents make up the curve each with a different value for m.In short, when you differentiate a function or equation, you get the gradient function, which allows you to find the gradient at any point on the graph y=f(x)differentiate y=x2 (which is the same as find dy/dx)dy/dx=2xso the gradient on the curve y=x2 always 2 times the x value in question. At x=1 the gradient is 2. At x=2 the gradient is 4.In mechanics, if you draw a graph of displacement against time for a moving object, the GRADIENT is equal to the function of velocity. Plot velocity against time and the gradient is equal to Acceleration against time.In any circumstance where a curve is involved differentiation is needed to ind a gradient.Phew, hope that helps and answers your question
Find the value of 2x² when x equals 3?
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