Writing Linear Equations in All 3 Forms

Front

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

Back

The point-slope form is given by the equation: y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

Write the equation in point-slope form for the line that contains the points (-2, -3) and (4, 3).

Back

y + 3 = 1(x + 2)

Front

What is the standard form of a linear equation?

Back

The standard form is given by the equation: Ax + By = C, where A, B, and C are integers.

Front

Write the equation 8x = -5y + 3 in standard form.

Back

8x + 5y = 3

Front

Write the equation 19x = y in standard form.

Back

19x - y = 0

Front

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

Back

'm' represents the slope of the line.

Front

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

Back

'b' represents the y-intercept of the line.

Front

How do you convert from slope-intercept form to standard form?

Back

Rearrange the equation y = mx + b to the form Ax + By = C.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept is 4.