Writing Equations in Slope Intercept Form

Front

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

Back

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, indicating the value of y when x = 0.

Front

Back

The slope is 5, which means for every 1 unit increase in x, y increases by 5 units.

Front

Back

The y-intercept is 4, meaning the line crosses the y-axis at the point (0, 4).

Front

Write the equation of a line with a slope of 3 and a y-intercept of -2 in slope-intercept form.

Back

Front

Back

The slope is 0.5.

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line descends from left to right.

Front

Back

Yes, it is already in slope-intercept form.

Front

Back

The slope is -\frac{3}{4}.