Converting from Point Slope to Slope Intercept

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is point-slope form of a linear equation?

Back

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

Front

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

Back

To convert, distribute the slope and then isolate y to get it in the form y = mx + b.

Front

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

Back

In the slope-intercept form, 'm' represents the slope of the line, indicating its steepness and direction.

Front

What does 'b' represent in the slope-intercept form?

Back

In the slope-intercept form, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

Convert the equation y - 3 = -2(x + 4) to slope-intercept form.

Back

The slope-intercept form is y = -2x - 5.

Front

What is the first step to convert y + 4 = -9(x + 3) to slope-intercept form?

Back

The first step is to distribute -9 to the parentheses.

Front

After distributing, what is the next step to isolate y in y + 4 = -27?

Back

Subtract 4 from both sides of the equation.

Front

Identify the slope in the equation y = -3x + 2.

Back

The slope is -3.

Front

Identify the y-intercept in the equation y = 4x - 1.

Back

The y-intercept is -1.