Point-Slope Formula

Front

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

Back

y - y₁ = m(x - x₁)

Front

How do you convert point-slope form to slope-intercept form?

Back

Isolate y to get y = mx + b.

Front

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

Back

The slope of the line.

Front

What is the slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope is 3.

Front

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

Back

Slope (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

Given the point (1, 5) and slope 3, what is the equation in slope-intercept form?

Back

y = 3x + 2.

Front

If a line has a slope of 5 and passes through (-1, -3), what is its equation?

Back

y = 5x + 2.

Front

What is the y-intercept of the line y = 3x + 12?

Back

The y-intercept is 12.

Front

How do you determine the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of b in y = mx + b.