Write the equation of a line given two points using slope intercept

The video tutorial guides students through writing the equation of a line given two points. It covers calculating the slope using the formula (y2-y1)/(x2-x1) and finding the y-intercept using the slope-intercept form. The instructor addresses common mistakes and clarifies the process, ensuring students understand how to derive the equation y = mx + b. The tutorial emphasizes the importance of understanding both the slope and y-intercept to form the correct equation.

What is the standard form of a linear equation?

• y = mx + b

• y = ax + b

• y = a/x + b

• y = ax^2 + bx + c

Which formula is used to calculate the slope between two points?

• y2 - y1 over x2 - x1

• y1 - y2 over x1 - x2

• x2 - x1 over y2 - y1

• x1 - x2 over y1 - y2

What is the slope if the points are (4, -1) and (2, -3)?

• 1

• -1

• 2

• -2

How do you find the y-intercept once you have the slope?

• Use the distance formula

• Use the quadratic formula

• Use the point-slope form

• Use the midpoint formula

What is the final equation of the line if the slope is -1 and the y-intercept is 1?

• y = x - 1

• y = -x - 1

• y = -x + 1

• y = x + 1