Finding the equation of a line (AQA GCSE Further Maths): Quizzes

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Finding the equation of a line
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Which method should you use if you know the gradient and one point on the line?

Point-slope form y−y1=m(x−x1)y - y_1 = m(x - x_1)

In the equation y=mx+cy = mx + c, what does mm represent?

The gradient (steepness)

In the equation y=mx+cy = mx + c, what does cc represent?

The y-intercept

What is the simplest case for finding a line equation?

Knowing gradient and y-intercept

What is the gradient of a line through (1,5)(1, 5) and (5,7)(5, 7)?

0.50.5

When a line passes through the origin (0,0)(0, 0), what form does its equation take?

y=mxy = mx

What is the alternative two-point formula for finding a line equation?

y−y1y2−y1=x−x1x2−x1\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}

Which is an example of standard form for a linear equation?

ax+by+c=0ax + by + c = 0

Which is a common mistake when finding line equations?

Sign errors with negative coordinates

What is the first step in the problem-solving strategy?

Identify what information you have

A line with gradient 22 through (−1,3)(-1, 3) has which equation?

y=2x+5y = 2x + 5

The two-point formula is based on which principle?

Ratio of vertical to horizontal change

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