A linear equation in the form
y = mx + b,
where x and y are the
variables and m and b are
constants, is said to be in slope-intercept form.
Equations in this form are easy to graph, since the slope of
line is m, and the y-intercept of
the line (the point where it crosses the y-axis) is b.
Graph y = –2x + 3.
Since the equation is given in slope-intercept form, we know immediately
that the line crosses the y-axis at (0, 3) and has slope –2.
We can quickly use the slope to find a second point (1, 1), and graph the line.
Solve for y. Use the resulting equation to find the slope of line.
–3x + y
Solve for y. Use the resulting equation to find the slope of the line.
9x – 2y
x – 3y
–3x + 9y
6x + 7y
Find the slope and the y–intercept of the line.
y = 5x – 7
Find the slope and the y–intercept:
9x + 5y – 3 = 0
Graph the line using the slope and y–intercept.
y = –4x
y – 4x
y + 6 = –3x
Graph the line using the slope and y– intercept.
3x – 7y = 28
Graph the using the slope and y–intercept.
7x – 2y
y = –x + 5
y = 5x + 2
For the figure shown, write an equation for line p in slope–intercept form.
For the figure shown, write an equation for line r
in slope–intercept form.
If the y–intercept of a graph is at a
and the x–intercept is at b, write the equation in slope–intercept form.
Suppose you begin with $9.00 and collect $0.25 a day.
Write an equation in slope–intercept form for this equation, and graph it.
Write an equation of a line that is perpendicular to the given line and has the same y–intercept.
= –5x – 3