Lesson 4.2 Homework

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 identify the slope from the Point-Slope form?

Back

In the Point-Slope form y - y1 = m(x - x1), the slope m is the coefficient of (x - x1).

Front

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

Back

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

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope is 2.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

Write the Point-Slope form of the line that goes through (10, 5) with a slope of -3.

Back

y - 5 = -3(x - 10)

Front

What are the coordinates of the point for the equation y - 4 = -1/3(x - 7)?

Back

The coordinates are (7, 4).

Front

Convert the equation y + 5 = -3(x - 6) to Slope-Intercept form.

Back

The Slope-Intercept form is y = -3x + 13.

Front

What does Slope-Intercept form of a linear equation look like?

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

How can you find the y-intercept from the Slope-Intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b.