Understanding Gradients in Linear Equations

In this video, Pak Benny explains the concept of gradien garis, which represents the slope of a line. The video covers how to calculate the gradien from graphs and coordinates, and how to determine it from linear equations. Examples and exercises are provided to reinforce understanding. The video concludes with a preview of the next topic on forming linear equations.

What does the gradient of a line represent?

• The length of the line

• The slope or steepness of the line

• The color of the line

• The width of the line

How is the gradient of a line determined from a graph?

• By comparing the changes in Y and X coordinates

• By measuring the length of the line

• By checking the color of the line

• By counting the number of points on the line

If a line on a graph is moving upwards from left to right, what can be said about its gradient?

• The gradient is undefined

• The gradient is positive

• The gradient is negative

• The gradient is zero

What is the gradient of a line that is horizontal?

• Zero

• Undefined

• Negative

• Positive

What is the gradient of a line that passes through the points (3, 4) and (-2, 3)?

• -1/5

• 1/5

• -5

• 5

If the gradient of a line is -3/4 and it passes through the point (-4, P), what is the value of P?

• -23/4

• -3/4

• 3/4

• 23/4

How do you find the gradient of a line from its equation in the form Y = MX + C?

• By identifying the constant C

• By finding the coefficient of X

• By calculating the sum of M and C

• By dividing C by M

What is the gradient of the line given by the equation Y = -2X + 5?

• -5

• 5

• 2

• -2

In the equation -2Y = X + 1, what is the first step to find the gradient?

• Multiply both sides by 2

• Divide both sides by -2

• Add 2 to both sides

• Subtract 1 from both sides

What is the gradient of the line given by the equation 4X - 2Y - 7 = 0?

• 2

• -1/2

• -2

• 1/2