Checkpoint 5B: Writing Linear equations given two points

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

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

Back

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

Front

What is the y-intercept in a linear equation?

Back

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

Front

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

Back

1. Find the slope using the two points. 2. Use one of the points and the slope to solve for b (y-intercept). 3. Write the equation in the form y = mx + b.

Front

What is the equation of the line that goes through the points (2, 9) and (3, 1)?

Back

y = -8x + 25.

Front

Write the equation of the line containing (-3, 4) and (-1, -2).

Back

y = -3x - 5.

Front

Write the linear equation that is solved by both (−6, 2) and (0, 4).

Back

y = (1/3)x + 4.

Front

Which equation passes through both (1, 7) and (0, −9)?

Back

y = 16x − 9.

Front

Write the equation of the line that passes through the points (3, 3) and (4, -1).

Back

y = -4x + 15.