Understanding Straight Line Equations

Calculate the slope of the line that passes through the points (2, 3) and (4, 7).

• 2

• 1

• 3

• 4

Draw the graph of the equation y = 2x + 1.

• The graph is a straight line with a slope of 2 and a y-intercept at (0, 1).

• The graph has a slope of -2 and a y-intercept at (0, -1).

• The graph is a horizontal line at y = 1.

• The graph is a parabola opening upwards.

Analyze the two lines represented by the equations y = 3x + 2 and y = -x + 5. What do you notice about their slopes?

• The slopes of the two lines are 3 and -1, indicating they are not parallel.

• The slopes of the two lines are both 3, indicating they are parallel.

• The slopes of the two lines are 2 and 5, indicating they are perpendicular.

• The slopes of the two lines are -3 and 1, indicating they are parallel.

Find the y-intercept of the line given by the equation 4x - 2y = 8.

• -2

• 0

• -4

• 2

Using the slope-intercept form, write the equation of a line with a slope of -3 that passes through the point (1, 4).

• y = 2x + 1

• y = -3x + 7

• y = -3x + 4

• y = -3x - 1

Determine the point of intersection of the lines y = 2x + 3 and y = -x + 1.

• (1, 5)

• (0, 3)

• (-1, 2)

• (-2/3, 5/3)

If the slope of a line is 5 and it passes through the point (0, -2), what is the equation of the line?

• y = -5x - 2

• y = 5x - 2

• y = 5x + 5

• y = 5x + 2

Graph the line represented by the equation y = -1/2x + 4.

• Graph the line with points (0, 4) and (4, 2).

• Graph the line with points (0, 0) and (4, 0).

• Graph the line with points (0, 4) and (2, 3).

• Graph the line with points (0, 2) and (4, 0).

What is the slope of the line that is perpendicular to the line y = 4x - 1?

• 2

• 0

• -1/4

• 1/4

• -2

Find the x-intercept of the line given by the equation 3x + 6y = 12.

• 6

• 0

• 4

• 2