Slope
What is the slope of a horizontal line?
O (Zero)
If Line A has a slope of 7 and Line B is parallel to it, what is the slope of Line B?
slope of B= 7
In the equation y=−2x+9, what is the y-intercept?
y-intercept= 9 or (0,9)
What is the "shortcut" formula to find the slope (m) directly from the general form Ax+By+C=0?
m= -A/B
Write the equation for a line that passes through (5,−2) with a slope of 4/7.
y+2=4/7(x−5)
Use the rise-over-run method to find the slope of a line that moves up 4 units for every 5 units it moves to the right.
4/5
If a line has a slope of 2/3, what is the slope of a line that is perpendicular to it?
-3/2 (opposite and reciprocal)
Write the equation for a line with a slope of 1/2 that intersects the y-axis at −5.
y=1/2x−5
Find the x-intercept and y-intercept for the equation 5x+8y=400.
x-intercept = 80 (80,0); y-intercept = 50 (0,50)
Find the point-slope equation for a line passing through (1,2) and (3,10).
y−2=4(x−1) OR y−10=4(x−3)
Calculate the slope of the line segment passing through the points (8,−3) and (−2,5).
-4/5
Determine if the graphs of y=3x+5 and y=−1/3x−2 are parallel, perpendicular, or neither.
Perpendicular
Convert 2x−y+4=0 into slope-intercept form.
y=2x+4
A budget of $60 is spent on x items at $5 each and y items at $3 each. Write the equation in General Form and find the y-intercept.
5x+3y−60=0; y-intercept is 20.
Determine the general form Ax+By+C=0 of
y-7= 5/4 (x+3)
5x-4y+43=0
If a line segment has no horizontal variation between points (it is a vertical line), what is the value of its slope?
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Line 1 passes through (2,3) and (5,8). Line 2 passes through (−3,1) and (2,−2). Are these lines perpendicular? Prove it.
Slope 1 is 5/3. Slope 2 is −3/5. Yes, they ARE perpendicular (product is −1).
A line passes through (6,9) and (−2,−4). What is its equation in y=mx+b form?
y=13/8x−3/4
Convert the equation y=2/3x−4 into general form (Ax+By+C=0).
2x-3y-12=0
Transform y+4=2(x−1) into y=mx+b form.
y=2x−6
The points with coordinates A(2, –3) and B(8, k) lie on line-segment AB. The slope of line-segment AB is -1/3. The value of k is
k= -5
The points with coordinates A(1, 2), B(3, 8) and C(n, 17) lie on the same line-segment. Determine the value of n.
n=6
Determine the equation in slope-intercept form for a line that passes through (2,−3) and is parallel to y=3x+5.
y=3x−9
The point with coordinates (-3,4) lies on a line that is parallel to 5x-12y=15. Determine the equation of a line in general form
5x-12y+63=0
Write the equation of a line that passes through (6,2) and is perpendicular to the line y−4=3(x+1).
y−2=−1/3(x−6)