Understanding Linear Equations and Slopes

This tutorial covers writing equations of lines in slope-intercept form, focusing on identifying slopes and y-intercepts from graphs. It includes examples of writing equations for lines with given slopes and y-intercepts, and special cases like horizontal and vertical lines. The video concludes with a practice question to reinforce learning.

What is the general form of the equation of a line in slope-intercept form?

• y = MX + B

• y = B + MX

• x = MY + B

• x = BY + M

In the equation y = MX + B, what does 'M' represent?

• Slope

• Y-intercept

• X-intercept

• Constant

In the equation y = MX + B, what does 'B' represent?

• Slope

• X-intercept

• Y-intercept

• Coefficient of X

If a line has a slope of -3 and a y-intercept of -6, what is its equation?

• y = 3x + 6

• y = -3x - 6

• y = 3x - 6

• y = -3x + 6

What is the equation of a line with a slope of 0 and a y-intercept of 3?

• y = 3x

• x = 3

• y = 0x + 3

• y = 3

What type of line is represented by the equation y = 3?

• Vertical line

• Horizontal line

• Diagonal line

• Undefined line

How do you find the y-intercept from a graph?

• Look for where the line crosses the x-axis

• Look for where the line crosses the y-axis

• Find the slope of the line

• Calculate the midpoint of the line

If a line goes up 1 unit and right 2 units, what is its slope?

• -2

• 2

• 1/2

• -1/2

What is the equation of a line with a slope of 1/2 and a y-intercept of -1?

• y = 1/2x - 1

• y = -1/2x - 1

• y = 1/2x + 1

• y = -1/2x + 1

What is the equation of a vertical line that crosses the x-axis at -2?

• x = -2

• y = -2

• x = 2

• y = 2