Introduction to Other Straight Line Equation Formats

The video tutorial explores different formats of straight line equations, starting with a recap of the basic y = mx + c format, where m is the gradient and c is the y-intercept. It introduces a new general equation format, y - y1 = m(x - x1), useful for finding equations with a given gradient and point or between two points. The tutorial includes examples demonstrating how to apply these formats to find line equations, emphasizing the importance of understanding different equation forms.

What does the 'm' represent in the equation y = mx + c?

• The x-coordinate

• The y-intercept

• The gradient

• The constant

In the equation y = mx + c, what happens to the line if 'm' is negative?

• The line becomes horizontal

• The line trends downwards

• The line becomes vertical

• The line trends upwards

What is the new general equation format for a straight line when given a gradient and a point?

• y = mx + c

• y - y1 = m(x - x1)

• y = m(x - x1) + y1

• x = my + c

How do you find the equation of a line with a gradient of 3 passing through the point (3, 14)?

• y = 3x - 14

• y = 3x - 5

• y = 3x + 5

• y = 3x + 14

What is the first step in finding the equation of a line passing through two points?

• Calculate the y-intercept

• Find the midpoint

• Calculate the gradient

• Determine the x-intercept

When rearranging the equation of a line, why might you prefer the form ax + by = c?

• It avoids negative coefficients

• It is easier to graph

• It simplifies calculations

• It is the only correct form

What is the gradient of a line passing through the points (-15, -2) and (24, -15)?

• -3

• 3

• 1/3

• -1/3