201014 Convert point-slope to slope-intercept

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

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

Back

To convert, solve for y in the point-slope equation to get it into the form y = mx + b.

Front

Convert the point-slope equation y - 4 = 3(x + 1) to slope-intercept form.

Back

y = 3x + 7.

Front

Convert the point-slope equation y + 3 = 3(x - 5) to slope-intercept form.

Back

y = 3x - 18.

Front

Convert the point-slope equation y - 3 = 2(x - 5) to slope-intercept form.

Back

y = 2x - 7.

Front

Convert the point-slope equation y + 5 = 3(x + 3) to slope-intercept form.

Back

y = 3x + 4.

Front

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

Back

In the point-slope form, 'm' represents the slope of the line.

Front

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

Back

In the point-slope form, (x₁, y₁) represents a specific point on the line.

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

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

Back

y - 2 = 3(x - 1).