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If an equation is a linear function, it can be written in theform of y = mx + b. x and y can not be multiplied by each other. To be a linear function, x and y must be to a single exponent. x and y can not be in the denominator of a fraction or asan exponent. x or y can be a zero but not both. Tell whether the following are linear equations. 1) y = x - 6 no yes 3 Tell whether the following are linear equations. 2) y = -5x + 6 no yes In the form y = mx + b, m represents the slope. So in the equation y = 3x + 7, the slope would be 3. 3) y = -7 zero negative positive undefined Is the slope positive, zero, negative, or undefined? 4) y = -6x zero negative positive undefined Is the slope positive, zero, negative, or undefined? 5) x = 6 zero negative positive undefined Is the slope positive, zero, negative, or undefined? 6) y = ½x - 2 zero negative positive undefined Is the slope positive, zero, negative, or undefined? To find the slope find the difference in the riseover the difference in the run. This formula willhelp calculate it. x2 - x1 y2 - y1 or r"y"se run Find the slope of the line that passes through each pair of points. 7) (3, -6) and (-3,0) Find the slope of the line that passes through each pair of points. If negative, put the sign with the top. 8) (6, 3) and (-4, 5) Remember: The y-intercept is where it crosses they axis. At that point x is always zero. Name the y-intercept and the slope. 9) If negative, put sign with top number. m = y intercept (0, ) slope y = mx + b y intercept Name the y-intercept and the slope. 10) y = 3x + 2 (0, ) y intercept m = slope Tell whether the following are linear equations. 11) y = x + 7q no yes 2 Tell whether the following are linear equations. 12) y = 3x - 8 no yes 13) y = x zero negative positive undefined Is the slope positive, zero, negative, or undefined? 14) x = 7 zero negative positive undefined Is the slope positive, zero, negative, or undefined? Is the slope positive, zero, negative, or undefined? 15) y = -x zero negative positive undefined 16) y = -3x - 8 zero negative positive undefined Is the slope positive, zero, negative, or undefined? Find the slope of the line that passes through each pair of points. 17) (3, -5) and (1, -1) Find the slope of the line that passes through each pair of points. 18) (7, 2) and (-2, 7) If negative, put the sign with the top number. Name the y-intercept and the slope. 19) If negative, put sign with top number. m = y intercept (0, __) Name the y-intercept and the slope. 20) y = -6x + 10 m = (0, __) y intercept Write an equation for the following sequence.
y 4 8 12 16 20
x 0 1 2 3 4 y = x + |