Point slope Form

Front

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

Back

y - y₁ = m(x - x₁)

Front

What does 'm' represent in the point-slope form?

Back

The slope of the line.

Front

What does (x₁, y₁) represent in the point-slope form?

Back

A specific point on the line.

Front

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

Back

Isolate y to get y = mx + b.

Front

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

Back

y = mx + b

Front

Given the point (-4, 3) and slope 2, write the equation in point-slope form.

Back

y - 3 = 2(x + 4)

Front

Given the point (4, -7) and slope -1/4, write the equation in point-slope form.

Back

y + 7 = -1/4(x - 4)

Front

What is the first step to write an equation in point-slope form?

Back

Identify the slope and a point on the line.

Front

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

Back

y - 2 = 3(x - 1)

Front

What is the significance of the slope in a linear equation?

Back

It indicates the steepness and direction of the line.