Slope and Graphing Linear Functions: math test, Grade 9 – download the PDF

1 Slopes of lines / 4 pts

Find the slope of the line through each pair of points, or write “undefined”.

1. \((-3,\,2)\) and \((1,\,10)\)
2. \((4,\,-5)\) and \((-2,\,7)\)
3. \((6,\,1)\) and \((6,\,-4)\)
4. \((-7,\,3)\) and \((2,\,3)\)

2 Slope-intercept form / 3 pts

A line passes through \((0,\,-4)\) and \((3,\,2)\).

1. Find its equation in slope-intercept form.
2. What is \(y\) when \(x=10\)?

3 Standard form and intercepts / 4 pts

Consider the line \(3x-4y=24\).

1. Find the \(x\)-intercept and the \(y\)-intercept.
2. Draw the line on graph paper.
3. Find its slope.

4 Point-slope form / 3 pts

A line has slope \(-\dfrac32\) and passes through \((4,\,1)\). Write its equation in point-slope form, then in slope-intercept form.

5 Parallel and perpendicular / 3 pts

Let \(L\) be the line \(y=-2x+5\).

1. Write the equation of the line parallel to \(L\) through \((1,\,4)\).
2. Write the equation of the line perpendicular to \(L\) through \((4,\,3)\).

6 Printing pages / 3 pts

A printer prints 45 pages in 3 minutes. The number of pages \(p\) varies directly with the time \(t\) in minutes.

1. Find the constant of variation.
2. Write an equation and find how many pages are printed in 8 minutes.
3. How long does it take to print 90 pages?