1. Graph the line defined by the equation x + 4y = 5.
Find the y values for the following values of x:
2. Graph the equation -2x + y = 4 using the x-and y-intercepts. Uset a third point to check.
3. Find the slope of the line that goes through (-0.1, 0.2) and (0.5, 0.8).
4. Find the slope of the line that goes through (-0.1, 0.2) and (0.5, 0.8).
5. Graph the line through (-2, 5) with slope of -1.
6. Find the slope and y-intercept, if they exist, for the line x - y = 4.
7. Write an equation in slope-intercept form, if possible for the line through (0, -1) that is perpendicular to the line y = x.
8. Write an equation in slope-intercept form, if possible for the line through (0, -1) that is perpendicular to the line y = x.
9. Find the equation of the line parallel to y = -x + 5 that goes through the point (-3, 6). Write answer in slope-intercept form.
10. Gas Laws. The volume of a gas is inversely proportional to the pressure on the gas. If the volume is 6 cubic centimeters when the pressure is 8 kilograms per square centimeter, then what is the volume when the pressure is 12 kilograms per square centimeter?
11. How can you tell if an ordered pair satisfies a linear inequality in two variables?
12. Determine which of the following points satisfy 2x + y < 3.
(-2, 6), (0, 3), (3, 0)