Equations With Two Variables - SAT Math
Card 1 of 13
Convert $y = -2x + 5$ to standard form.
Convert $y = -2x + 5$ to standard form.
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$2x + y = 5$. Move $x$-term to left: $2x + y = 5$.
$2x + y = 5$. Move $x$-term to left: $2x + y = 5$.
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Convert the equation $2x + 3y = 6$ to slope-intercept form.
Convert the equation $2x + 3y = 6$ to slope-intercept form.
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$y = -\frac{2}{3}x + 2$. Solve for $y$ by isolating it on one side.
$y = -\frac{2}{3}x + 2$. Solve for $y$ by isolating it on one side.
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What is the slope of the line $y = -5x + 2$?
What is the slope of the line $y = -5x + 2$?
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$-5$. Coefficient of $x$ in slope-intercept form.
$-5$. Coefficient of $x$ in slope-intercept form.
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What is the standard form of a linear equation in two variables?
What is the standard form of a linear equation in two variables?
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$Ax + By = C$. General form with integer coefficients $A$, $B$, and $C$.
$Ax + By = C$. General form with integer coefficients $A$, $B$, and $C$.
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Find the x-intercept of the line $3x + 4y = 12$.
Find the x-intercept of the line $3x + 4y = 12$.
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The x-intercept is $x = 4$.. Set $y = 0$ and solve for $x$.
The x-intercept is $x = 4$.. Set $y = 0$ and solve for $x$.
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Determine the slope of the line $y = -5x + 3$.
Determine the slope of the line $y = -5x + 3$.
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The slope is $-5$. The coefficient of $x$ in slope-intercept form.
The slope is $-5$. The coefficient of $x$ in slope-intercept form.
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What is the formula for the slope of a line given points $(x_1, y_1)$ and $(x_2, y_2)$?
What is the formula for the slope of a line given points $(x_1, y_1)$ and $(x_2, y_2)$?
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Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$. Rise over run between two points.
Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$. Rise over run between two points.
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Which form is $y = mx + b$ called?
Which form is $y = mx + b$ called?
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Slope-intercept form. Shows slope $m$ and y-intercept $b$ directly.
Slope-intercept form. Shows slope $m$ and y-intercept $b$ directly.
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Find the solution for $x$ if $y = 3$ in the equation $2x + y = 7$.
Find the solution for $x$ if $y = 3$ in the equation $2x + y = 7$.
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$x = 2$. Substitute $y = 3$ and solve: $2x + 3 = 7$.
$x = 2$. Substitute $y = 3$ and solve: $2x + 3 = 7$.
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Solve for $y$: $4x - 2y = 8$.
Solve for $y$: $4x - 2y = 8$.
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$y = 2x - 4$. Isolate $y$ by subtracting $4x$ and dividing by $-2$.
$y = 2x - 4$. Isolate $y$ by subtracting $4x$ and dividing by $-2$.
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What is the point-slope form of a line through $(x_1, y_1)$ with slope $m$?
What is the point-slope form of a line through $(x_1, y_1)$ with slope $m$?
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$y - y_1 = m(x - x_1)$. Uses a known point and slope to define the line.
$y - y_1 = m(x - x_1)$. Uses a known point and slope to define the line.
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Identify the y-intercept in the equation $y = mx + b$.
Identify the y-intercept in the equation $y = mx + b$.
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The y-intercept is $b$. The constant term where the line crosses the y-axis.
The y-intercept is $b$. The constant term where the line crosses the y-axis.
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Convert the equation $2x + 3y = 6$ to slope-intercept form.
Convert the equation $2x + 3y = 6$ to slope-intercept form.
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$y = -\frac{2}{3}x + 2$. Isolate $y$ by subtracting $2x$ and dividing by $3$.
$y = -\frac{2}{3}x + 2$. Isolate $y$ by subtracting $2x$ and dividing by $3$.
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