Intro to Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How would you write the equation with a slope of 4/5 and a y-intercept of -1?

Back

y = \frac{4}{5}x - 1

Front

What is the slope of the line represented by the equation y = -\frac{2}{3}x + 2?

Back

The slope is -\frac{2}{3}.

Front

Is the graph of a linear function always straight?

Back

True, the graph of a linear function is always a straight line.

Front

What is the value of 'b' in the equation y = 5x - 6?

Back

'b' is -6.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = \frac{y2 - y1}{x2 - x1}.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.