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The slope of a nonvertical line passing through the
points (x1, y1) and (x2, y2) is
â€œThe line is going uphill, so the slope is positive.
Starting at (-1, -1) you go up 1 and right 3,
so the slope is
The linear equation y = mx + b is written in
slope-intercept form. The slope is m. The y-intercept is b.
m = 3.
â€œFrom one point on the graph, you move up 3 and
right 1 to the second point, so the slope is 3.â€
y = 3x - 2 matches
â€œFrom the graph, the y-intercept is -2 and the slope
is 3. So the equation is y = 3x - 2.â€
A solution of a linear equation is an ordered pair
whose values make the equation true. To find a
solution, pick a value for x, substitute it into the
equation, and solve for y
y = 3x - 7; (2,
) is a solution. matches -1
â€œReplace with 2; 3 times 2 is 6. 6 minus 7 is -1,
so the answer is -1.â€