For Exercises 37–42, match the form or formula on the left with its name on the right. m = y 2 − y 1 x 2 − x 1 i. Standard form ii. Point-slope formula iii. Horizontal line iv. Vertical line v. Slope-intercept form vi. Slope formula
For Exercises 37–42, match the form or formula on the left with its name on the right. m = y 2 − y 1 x 2 − x 1 i. Standard form ii. Point-slope formula iii. Horizontal line iv. Vertical line v. Slope-intercept form vi. Slope formula
Solution Summary: The author explains that the form of the formula m=y_2 matched the following options: standard form, vertical line, horizontal line.
For Exercises 37–42, match the form or formula on the left with its name on the right.
m
=
y
2
−
y
1
x
2
−
x
1
i. Standard form
ii. Point-slope formula
iii. Horizontal line
iv. Vertical line
v. Slope-intercept form
vi. Slope formula
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
Exercises 83–86: The table lists data that are exactly linear.
a. Find the slope-intercept form of the line that passes through these
data points.
b. Predict y when x = -2.7 and 6.3. Decide if these calculations
involve interpolation or extrapolation.
-3
-2
-1
1
83.
y
-7.7
-6.2
-4.7
-3.2
-1.7
4
Adjust the equation so the line passes through
the points.
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