Equation of a straight line

Front

What is the equation of a straight line in slope-intercept form?

Back

y = mx + c, where m is the gradient and c is the y-intercept.

Front

What does the gradient (m) of a line represent?

Back

The gradient represents the steepness of the line and the direction it moves (positive or negative).

Front

How do you find the y-intercept (c) from the equation of a line?

Back

The y-intercept is the value of y when x = 0 in the equation y = mx + c.

Front

What is the gradient of the line y = 3x + 4?

Back

3

Front

What is the y-intercept of the line y = -2x + 5?

Back

5

Front

Convert the equation x + y = 2 into slope-intercept form.

Back

y = -x + 2.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

-4

Front

If a line has a gradient of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

If a line has an undefined gradient, what does that indicate about the line?

Back

The line is vertical.

Front

What is the equation of a line that passes through the point (2, 3) with a gradient of 1?

Back

y - 3 = 1(x - 2) or y = x + 1.