Writing Slope Intercept Equations (given slope and y-int.)

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in the equation y = mx + b?

Back

The slope is represented by the variable m in the equation.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If the slope is 2 and the y-intercept is -1, what is the equation of the line?

Back

The equation of the line is y = 2x - 1.

Front

What is the slope of the line represented by the equation y = -5x + 4?

Back

The slope of the line is -5.

Front

How can you find the y-intercept from the equation y = 3x + 7?

Back

The y-intercept is 7, which is the value of b in the equation.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of -2 and passes through the point (3, 5), what is the equation of the line?

Back

Using the point-slope form, the equation is y - 5 = -2(x - 3), which simplifies to y = -2x + 11.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.