Point slope Form

Front

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

Back

y - y₁ = m(x - x₁)

Front

If a line passes through the point (3, 4) with a slope of 2, what is the point-slope form of the equation?

Back

y - 4 = 2(x - 3)

Front

What does 'm' represent in the equation y = mx + b?

Back

Slope of the line.

Front

Convert the point (1, 2) with slope -4 into point-slope form.

Back

y - 2 = -4(x - 1)

Front

What is the slope of the line represented by the equation y - 5 = 3(x - 2)?

Back

3

Front

Write the point-slope form for a line with slope 1 that passes through the point (0, 0).

Back

y - 0 = 1(x - 0) or y = x

Front

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

Back

Isolate y in the equation y - y₁ = m(x - x₁) to get y = mx + b.

Front

What is the y-intercept of the line y - 3 = 2(x - 1)?

Back

1 (when converted to slope-intercept form, y = 2x - 1)

Front

If a line has a slope of -2 and passes through (4, 5), what is the point-slope form?

Back

y - 5 = -2(x - 4)

Front

What is the significance of the point (x₁, y₁) in point-slope form?

Back

It is a specific point on the line.