Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?
answer
y - 1 = 1/2(x -5)
question
Which equation represents a line that passes through (4,1/3 ) and has a slope of 3/4 ?
answer
y - 1/3 = 3/4 (x - 4)
question
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
answer
y + 1/2 = 3(x - 2)
question
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3 ?
answer
y - 2 = 1/3(x - 3)
question
The equation of a linear function in point-slope form is y - y1 = m(x - x1). Harold correctly wrote the equation y = 3(x - 7) using a point and the slope. Which point did Harold use?
answer
When Harold wrote his equation, the point he used was (7, 0).
question
Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?
answer
y - 7 = 4(x - 1)
question
Alejandra correctly wrote the equation y - 3 = 1/5 (x - 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
answer
y - 3 = 2(x - 10)
question
What is the equation of the graphed line in point-slope form?
answer
y + 6 = 3/4 (x + 4)
question
Anya graphed the line (y - 2) = 3(x - 1) on the coordinate grid.
answer
The slope of her line is 3
question
Which equations and/or functions represent the graphed line? Check all that apply.
What is the equation of the graphed line in point-slope form?
answer
y - 1 = 2/3 (x - 3)
question
Which steps should be used to graph the equation y - 4 = 1/3 (x + 2)?
answer
1. Plot the point (-2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
question
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is 1/2
Step 4: Substitute those values into the point-slope form.
y - y1 = m(x - x1)
y - 3 = (x - 1)
Which of Talia's steps is incorrect?
answer
Step 3 is incorrect because it shows an incorrect ratio for the slope.
question
What is the equation of the graphed line in point-slope form?
answer
y + 3 = 2 (x + 3)
question
The newspaper in Haventown had a circulation of 80,000 papers in the year 2000. In 2010, the circulation was 50,000. With x = 0 representing the year 2000, the graph below models this scenario.
What number will complete the point-slope equation that models this scenario?
answer
y 50,000 = -3,000 (x 10)
question
Which equation represents a line that passes through (-2, 4) and has a slope of 2/5?
answer
y - 4 = 2/5(x + 2)
question
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
answer
y + 3 = -6(x + 9)
question
Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?
answer
f(x) = -3x + 14
question
What is the slope of the line?
answer
-1/2
question
What is the slope of the line?
answer
5/2
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