Writing linear equations CFA

Front

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

Back

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

Front

How do you find the slope (m) between 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 (b) represent in the equation y = mx + b?

Back

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

Front

Write the equation of a line with a slope of -2 that passes through the point (0, 1).

Back

y = -2x + 1.

Front

If a line has a slope of 3 and passes through the point (1, 2), what is the equation of the line?

Back

y = 3x - 1.

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

How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

Write the equation of the line that passes through the points (2, 3) and (4, 7).

Back

y = 2x - 1.

Front

What is the formula to find the y-coordinate of a point on a line given its x-coordinate?

Back

Substitute the x-coordinate into the equation of the line y = mx + b.