There are many different ways to write the equation of a line, depending on the information we've been given in the problem. Here is a quick review:
Use the questions below and the question set to practice writing equations given different sets of information.
Write down the equation of a line whose slope is $2$2 and crosses the $y$y-axis at $\left(0,1\right)$(0,1).
Express your answer in slope-intercept form.
Line L1 has the following equation: $y=x-2$y=x−2
Find the $y$y value of the $y$y-intercept of the line.
Find the $x$x value of the $x$x-intercept of the line.
Find the $y$y-coordinate of a point that has an $x$x-coordinate of $-5$−5.
Plot the line $y=x-2$y=x−2 on the number plane.
After finding the equation, we could also rewrite it in Standard Form.
$Ax+By=C$Ax+By=C where $A$A, $B$B, and $C$C must be integers and the value of $A$A is positive.
A line has slope $-\frac{3}{2}$−32 and passes through the point $\left(2,-2\right)$(2,−2).
By substituting into the equation $y=mx+b$y=mx+b, find the value of $b$b for this line.
Hence write the equation of the line in slope-intercept form.
Derive the same equation by using the point-slope formula.
Graph the line.
A line passes through the points ($3$3, $-5$−5) and ($-7$−7, $2$2).
Find the slope of the line.
Find the equation of the line by substituting the slope and one point into $y-y_1=m\left(x-x_1\right)$y−y1=m(x−x1).
You may express the equation in slope intercept or standard form.