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

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Equation of a Straight Line
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In the slope-intercept form y=mx+cy = mx + c, what does cc represent?

The y-intercept

What is the slope of a line passing through (1,2)(1, 2) and (4,8)(4, 8)?

22

What is the y-intercept of the line y=2x−3y = 2x - 3?

−3-3

Which form uses the equation y−y1=m(x−x1)y - y_1 = m(x - x_1)?

Point-slope form

What is the general form of a straight line equation?

Ax+By+C=0Ax + By + C = 0

What is the gradient of 6x+5y=36x + 5y = 3 when rearranged to y=mx+cy = mx + c form?

−65-\frac{6}{5}

What equation results from points (1,2)(1, 2) and (4,8)(4, 8) using two-point form?

y=2xy = 2x

Find the equation through (2,7)(2, 7) with gradient 44 in form y=mx+cy = mx + c.

y=4x−1y = 4x - 1

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

2x−y−3=02x - y - 3 = 0

What is the gradient of a line through (4,7)(4, 7) and (9,−12)(9, -12)?

−195-\frac{19}{5}

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