Linear graphs and simultaneous linear equations

In the equation y = mx + c, m represents __________.

The gradient of the line.

The y-intercept in the equation y = mx + c is represented by __________.

c.

To find the gradient of a line between two points (x1, y1) and (x2, y2), use the formula __________.

(y2 - y1) / (x2 - x1).

In a horizontal line, the equation is __________.

y = c.

The gradient of a horizontal line is __________.

Zero (undefined in terms of slope).

The equation of a vertical line is __________.

x = a.

The gradient of a vertical line is __________.

Undefined.

Simultaneous linear equations can be solved using the __________ method.

Elimination method.

When using the elimination method, label the equations as __________ and __________.

1 and 2.

If there are no same variables to eliminate, you should __________ the equations to find the lowest common multiple.

Multiply.

After multiplying the equations, the new equations are labeled as __________ and __________.

3 and 4.

In the elimination method, if the variable is positive and negative, you will __________ the equations.

Add.

If the variable is negative and negative, you will __________ the equations.

Subtract.

After solving for either x or y, substitute back into equation __________ or __________ to find the other variable.

1 or 2.

To check your solution after finding x and y, substitute both values into equation __________ or __________.

1 or 2.

The gradient of the line is defined as __________.

The change in y over the change in x.

When forming a right-angled triangle on the line, the two coordinates chosen should be the __________.

Start and end points of the triangle.

In the context of linear equations, a graph represents __________.

The relationship between x and y.

The formula for the gradient of the line can also be expressed in the form __________.

(rise/run).

In the graphs of linear equations of the form ax + by = k, what determines the slope of the line? __________.

The coefficients a and b.

In linear equations, if a line is steep, the gradient m is __________.

Greater than 1.