Standard to Slope Intercept

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

Convert the standard form equation 2x + 2y = 6 into slope-intercept form.

Back

y = -x + 3.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

If f(x) = -4x - 5, what is f(1)?

Back

f(1) = -9.

Front

What is the first step to convert the equation 4x - 3y = 15 into slope-intercept form?

Back

Isolate y by moving 4x to the other side: -3y = -4x + 15.

Front

What is the slope of the line represented by the equation y = (4/3)x - 5?

Back

The slope is 4/3.

Front

How do you determine if two lines are parallel using their equations?

Back

Two lines are parallel if they have the same slope.

Front

What is the process to solve for y in the equation 4y = -2x + 8?

Back

Divide each term by 4: y = -0.5x + 2.