Graphs - SAT Math
Card 1 of 9
What is the equation of a circle with center $(h, k)$ and radius $r$?
What is the equation of a circle with center $(h, k)$ and radius $r$?
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$(x - h)^2 + (y - k)^2 = r^2$. Standard circle equation with center $(h, k)$ and radius $r$.
$(x - h)^2 + (y - k)^2 = r^2$. Standard circle equation with center $(h, k)$ and radius $r$.
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Which point lies on the line $y = 2x + 3$: (1, 5) or (2, 4)?
Which point lies on the line $y = 2x + 3$: (1, 5) or (2, 4)?
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(1, 5). Substituting: $y = 2(1) + 3 = 5$, so point $(1, 5)$ satisfies the equation.
(1, 5). Substituting: $y = 2(1) + 3 = 5$, so point $(1, 5)$ satisfies the equation.
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What is the slope-intercept form of a linear equation?
What is the slope-intercept form of a linear equation?
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$y = mx + b$. Standard form where $m$ is slope and $b$ is y-intercept.
$y = mx + b$. Standard form where $m$ is slope and $b$ is y-intercept.
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Identify the vertex of the parabola $y = (x - 3)^2 + 2$.
Identify the vertex of the parabola $y = (x - 3)^2 + 2$.
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(3, 2). Vertex form $(x - h)^2 + k$ has vertex at $(h, k)$.
(3, 2). Vertex form $(x - h)^2 + k$ has vertex at $(h, k)$.
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What does a positive correlation in a scatter plot indicate?
What does a positive correlation in a scatter plot indicate?
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As one variable increases, the other variable also increases. Both variables move in the same direction together.
As one variable increases, the other variable also increases. Both variables move in the same direction together.
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Which type of correlation is suggested by a downward trend in a scatter plot?
Which type of correlation is suggested by a downward trend in a scatter plot?
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Negative correlation. Downward slope indicates variables move in opposite directions.
Negative correlation. Downward slope indicates variables move in opposite directions.
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Given a scatter plot with no discernible pattern, what is the correlation type?
Given a scatter plot with no discernible pattern, what is the correlation type?
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No correlation. Random scatter with no clear pattern means variables are unrelated.
No correlation. Random scatter with no clear pattern means variables are unrelated.
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What is the primary purpose of a scatter plot?
What is the primary purpose of a scatter plot?
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To display the relationship between two quantitative variables. Shows how two numerical variables relate or change together.
To display the relationship between two quantitative variables. Shows how two numerical variables relate or change together.
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Identify the line that best represents the trend in a scatter plot.
Identify the line that best represents the trend in a scatter plot.
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Line of best fit (or trend line). Drawn through data points to show the overall pattern or trend.
Line of best fit (or trend line). Drawn through data points to show the overall pattern or trend.
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