Point-Slope Form of a Line
questions fully solved &
updated 2025-2026
Which equation represents a line that passes
through (5, 1) and has a slope of 1/2 ? - answer y -
1 = 1/2(x -5)
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)
Which equation represents a line that passes
through (2, -1/2) and has a slope of 3? - answer y +
1/2 = 3(x - 2)
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)
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).
, 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)
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)
What is the equation of the graphed line in point-
slope form? - answer y + 6 = 3/4 (x + 4)
Anya graphed the line (y - 2) = 3(x - 1) on the
coordinate grid. - answer The slope of her line is 3
Which equations and/or functions represent the
graphed line? Check all that apply. - answer f(x) =
0.5x + 2
f(x) = 1/2x + 2
y - 3 = 1/2(x - 2)
y - 1 = 0.5(x + 2)
What is the equation of the graphed line in point-
slope form? - answer y - 1 = 2/3 (x - 3)
questions fully solved &
updated 2025-2026
Which equation represents a line that passes
through (5, 1) and has a slope of 1/2 ? - answer y -
1 = 1/2(x -5)
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)
Which equation represents a line that passes
through (2, -1/2) and has a slope of 3? - answer y +
1/2 = 3(x - 2)
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)
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).
, 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)
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)
What is the equation of the graphed line in point-
slope form? - answer y + 6 = 3/4 (x + 4)
Anya graphed the line (y - 2) = 3(x - 1) on the
coordinate grid. - answer The slope of her line is 3
Which equations and/or functions represent the
graphed line? Check all that apply. - answer f(x) =
0.5x + 2
f(x) = 1/2x + 2
y - 3 = 1/2(x - 2)
y - 1 = 0.5(x + 2)
What is the equation of the graphed line in point-
slope form? - answer y - 1 = 2/3 (x - 3)
