Equation of a Straight Line (Edexcel A-Level Mathematics): Quizzes

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Equation of a Straight Line
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In the equation y=mx+cy = mx + c, what does mm represent?

The slope of the line

What is the y-intercept in y=2x3y = 2x - 3?

3-3

Using m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}, find the slope for (1,2)(1, 2) and (4,8)(4, 8).

22

Which form is yy1=m(xx1)y - y_1 = m(x - x_1)?

Point-slope form

What is y=2x3y = 2x - 3 in general form?

2xy3=02x - y - 3 = 0

What is the gradient of 6x+5y=36x + 5y = 3 when rearranged to y=3565xy = \frac{3}{5} - \frac{6}{5}x?

65-\frac{6}{5}

Find the equation through (2,7)(2, 7) with gradient 44 using point-slope form.

y=4x1y = 4x - 1

What does the y-intercept represent?

Where line crosses y-axis when x=0x = 0

Calculate gradient for points (4,7)(4, 7) and (9,12)(9, -12) using m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}.

195\frac{19}{5}

Which form is Ax+By+C=0Ax + By + C = 0?

General form

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