Writing Linear Equations and Slope

This lesson continues from the previous one, focusing on writing equations of a line using different forms. It covers finding the equation of a line using two points, converting slope-intercept form to standard form, and understanding proportional relationships. The lesson introduces point-slope form and provides exercises for practice.

What is the primary focus of this lesson?

• Understanding quadratic equations

• Writing equations of a line

• Solving systems of equations

• Graphing parabolas

When given two points on a line, what is the first step to find the equation of the line?

• Determine the slope

• Find the midpoint

• Calculate the y-intercept

• Plot the points on a graph

What is the slope of a line passing through the points (5, 4) and (-2, 2)?

• 7/2

• 2/7

• 3/1

• 1/3

What is the standard form of a linear equation?

• y = mx + b

• ax + by = c

• y = ax^2 + bx + c

• x = my + b

How do you convert a slope-intercept form equation to standard form?

• Divide by the y-intercept

• Rearrange terms to get ax + by = c

• Multiply by the reciprocal of the slope

• Add the slope to both sides

What is the y-intercept of the line with the equation y = -3/5x + 17/5?

• -3/5

• 3/5

• 17/5

• 5/17

Which form of a linear equation is useful when you have a point and a slope?

• Slope-intercept form

• Standard form

• Point-slope form

• Quadratic form

In the point-slope form equation y - y1 = m(x - x1), what does 'm' represent?

• The y-coordinate of a point

• The slope

• The y-intercept

• The x-coordinate of a point

What is the equation of a line with a slope of 4 passing through the point (8, 3)?

• y = 4x + 8

• y = 3x + 4

• y = 4x - 29

• y = 4x + 3

Which of the following is NOT a form of a linear equation?

• Quadratic form

• Point-slope form

• Standard form

• Slope-intercept form