Writing Equations Given Two Points Numerical Problems

Front

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

Back

m = (y2 - y1) / (x2 - x1)

Front

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

Back

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

Front

How do you find the y-intercept (b) of a line given the slope and a point (x, y)?

Back

b = y - mx, where m is the slope.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

The line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

The line is vertical.

Front

Given the points (1, 2) and (3, 4), what is the slope of the line?

Back

m = (4 - 2) / (3 - 1) = 1.

Front

What is the equation of the line that passes through the points (2, 3) and (4, 7)?

Back

y = 2x - 1.

Front

How do you write the equation of a line in point-slope form?

Back

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

Front

What is the first step to find the equation of a line given two points?

Back

Calculate the slope (m) using the two points.