Intercepts from general form Practice Questions (Grade 9)

Warm-upeasy

The equation of a line is $4x - 5y = -120\textsf{.}$ What is the $x$ -intercept of the line?

The $x$ -intercept is the value of $x$ when $y = 0\textsf{.}$ Substituting gives $4x = -120\textsf{,}$ so $x = -30\textsf{.}$

Mid-gameeasy

The equation of a line is $4x + 3y = -12\textsf{.}$ What is the $y$ -intercept of the line?

The $y$ -intercept is the value of $y$ when $x = 0\textsf{.}$ Substituting gives $3y = -12\textsf{,}$ so $y = -4\textsf{.}$

Mid-gameeasy

The equation of a line is $2x + 6y = -18\textsf{.}$ What is the $x$ -intercept of the line?

The $x$ -intercept is the value of $x$ when $y = 0\textsf{.}$ Substituting gives $2x = -18\textsf{,}$ so $x = -9\textsf{.}$

Mid-gameeasy

The equation of a line is $4x - y = 4\textsf{.}$ What is the $y$ -intercept of the line?

The $y$ -intercept is the value of $y$ when $x = 0\textsf{.}$ Substituting gives $-1y = 4\textsf{,}$ so $y = -4\textsf{.}$

Mid-gameeasy

The equation of a line is $2x - 6y = 12\textsf{.}$ What is the $x$ -intercept of the line?

The $x$ -intercept is the value of $x$ when $y = 0\textsf{.}$ Substituting gives $2x = 12\textsf{,}$ so $x = 6\textsf{.}$

Mid-gameeasy

The equation of a line is $4x - 6y = -60\textsf{.}$ What is the $y$ -intercept of the line?

The $y$ -intercept is the value of $y$ when $x = 0\textsf{.}$ Substituting gives $-6y = -60\textsf{,}$ so $y = 10\textsf{.}$

Mid-gameeasy

The equation of a line is $5x + 6y = -120\textsf{.}$ What is the $x$ -intercept of the line?

The $x$ -intercept is the value of $x$ when $y = 0\textsf{.}$ Substituting gives $5x = -120\textsf{,}$ so $x = -24\textsf{.}$

Buzzer beatereasy

The equation of a line is $4x - 5y = -40\textsf{.}$ What is the $y$ -intercept of the line?

The $y$ -intercept is the value of $y$ when $x = 0\textsf{.}$ Substituting gives $-5y = -40\textsf{,}$ so $y = 8\textsf{.}$

Intercepts from general form. Game on.