Writing Linear Equations

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented by 'm' in the equation y = mx + b.

Front

How do you determine if a slope is positive or negative?

Back

A positive slope means the line rises from left to right, while a negative slope means the line falls from left to right.

Front

What does 'm' represent in the equation of a line?

Back

'm' represents the slope of the line.

Front

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

Back

The y-intercept is the value of y when x = 0, represented by 'b' in the equation.

Front

How do you write the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How can you convert the point-slope form to slope-intercept form?

Back

Rearrange the equation to solve for y: y = mx + b.

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

How do you find the equation of a line given two points?

Back

First, calculate the slope using the two points, then use the point-slope form to write the equation.

Front

What is the significance of the delivery fee in a linear equation for a meal cost?

Back

The delivery fee represents the y-intercept in the equation, indicating the starting cost before additional charges.