1. Given the linear equation: -3x + 5y = 15
a. Show and explain your process to find the x and y intercepts.
b. Use the x- and y-intercepts you found in part a and the slope formula to find the slope of the line. Show your work.
c. Begin with the form -3x+5y=15 and write the equation in slope intercept form. Show your work.
d. Based on the slope-intercept form of the line, what are the slope and y-intercept? Are these values consistent with your answers in parts a and b?
2. a. Explain how you would find an equation of a line passing through the point (-1, 2) and perpendicular to the line 2x - 5y = 9.
b. Finish the process to find the equation of the perpendicular line. Show all work. Put your final answer in slope intercept form.
3. Given the function:
Find and show your work in computing:
g(0) = _____ This represents the ordered pair ( , )
g(-2) = _____ This represents the ordered pair ( , )
g(6) = _____ This represents the ordered pair ( , )
4. Write the equation of the line that passes through (2, -4) with undefined slope. How would we classify this line?