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

How do you identify the y-intercept from the equation y = -2/5x - 4?

Back

The y-intercept is -4, which is the value of b in the slope-intercept form.

Front

What does the slope represent in a linear equation?

Back

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

Front

If the slope is 2/3, what does this mean in terms of rise over run?

Back

It means that for every 2 units the line rises, it runs 3 units to the right.

Front

How do you graph the line y = -1/3x - 4?

Back

Start at the y-intercept (-4) on the y-axis, then use the slope (-1/3) to find another point by going down 1 unit and right 3 units.

Front

What is the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

The equation is y = 2/3x - 3.

Front

How can you convert the equation y = 1/3x - 3 into standard form?

Back

Multiply through by 3 to get 3y = x - 9, then rearrange to get x - 3y = 9.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.