Slope & Intercepts
Slope-Intercept Form
Slope-Point Form
General Form
Distance & Midpoint
100
What is the slope of the graph of y=-4/9x+7?
What is -4/9.
100
The graph of a linear function has slope 4/7 and y-intercept -5. Write an equation for this function in slope-intercept form.
What is y=4/7x-5.
100
A line has a slope of -3 and passes through the point (8, 1). Write the equation of the line in slope-point form.
What is y-1=-3(x-8)
100
Why is the equation below not in general form? Point out what is wrong and explain why. -5x+4y+6=0
What is -5x. The value for A must be a whole number.
100
Determine the length of the line segment with endpoints A(5,7) and B(5,-6)
What is 13.
200
What is the y-intercept of the graph of the equation y=11x-3/8 ?
What is -3/8.
200
Convert y-3=9(x+2) into slope-intercept form.
What is y=9x+21
200
A line has a slope of 3/5 and passes through the point (-4, -6). Write the equation of the line in slope-point form.
What is y+6=3/5 (x+4)
200
Convert y=6x+18 into general form
What is 6x-y+18=0
200
Determine the midpoint of the line segment with endpoints C(5,4) and D(1,2).
What is (3,3)
300
Determine the x-intercept of the graph of y=1/5x
What is 0.
300
Convert y-4=-3/4 (x-3) into slope intercept form
What is y=-3/4x + 25/4
300
Write an equation for a line that passes through A(2, -4) and is parallel to the line y=2/5x-8
What is y+4=2/5 (x-2)
300
Convert y=3/8x-11/8 into general form
What is 3x-8y-11=0
300
The endpoints of the diameter of a circle are E(5,6) and F(-9, 8). Determine the coordinates of the centre of the circle.
What is (-2,7)
400
Determine the x-intercept of the graph of y=4x-8.
What is 2.
400
Convert 3x+7y-6=0 to slope-intercept form.
What is y=-3/7x +6/7
400
Write an equation for a line that passes through A(-2, 5) and is perpendicular to the line y=3/7x-3
What is y-5=-7/3 (x+2)
400
Convert y-3=-2/5 (x+2) into general form.
What is 2x+5y-11=0
400
**DAILY DOUBLE** If the midpoint of a circle is (2, 1) and one of the endpoints is (-2, -4), determine the length of the radius.
What is √41
500
The total fee for withdrawing money at an ATM in a foreign country is a $3.75 foreign cash withdrawal fee, plus a 3% conversion fee. Write an equation to represent the total fee, F dollars, for withdrawing d dollars.
What is F=0.03d + 3.75
500
**DAILY DOUBLE** The student council sponsored a dance. A ticket costs $2 and the cost for the DJ was $200. Write an equation for the profit, P dollars, on the sale of t tickets.
What is P=2t-200
500
A line passes through (10, 50) and (5, 70). Write the equation of the line in slope-point form.
What is y-50=-4(x-10)
500
**DAILY DOUBLE** What is the slope of the line with this equation: 5x-7y-14=0
What is 5/7
500
A line segment has endpoints S(4,7) and T(-2,-1). Determine the coordinates of the points that divide ST into 4 equal parts.
What is (5/2, 5), (1,3), and (-1/2, 1)
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