If the graph of a linear equation passes through (0, -2) and has a slope -3, what is its equation?
y = -3x - 2
Slope-intercept form: y = mx + c, where m is the slope and c is the y-intercept (the y-value where the line meets the y-axis at x = 0).
m = -3
The point (0, -2) lies on the y-axis, so c = -2
y = -3x - 2
Check: at x = 0, y = -2, so the point fits; at x = 1, y = -5, a drop of 3 per unit step, which is a slope of -3. Lines with +3x have the wrong slope and +2 has the wrong intercept.
Hence, y = -3x - 2.
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In which ratio the point (-3, p) divides the line segment joining the points (-5, -4) and (-2, 3)?
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Find the slope of the line joining the points (3, -4) and (5, 2).
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