Answer:
Explanation:
Given the algebraic equation of a line, we are able to graph it in a number of ways. In this section, we will be given a geometric description of a line and be asked to find the algebraic equation. Finding the equation of a line can be accomplished in a number of ways, the first of which makes use of slope-intercept form,
y
=
m
x
+
b
. If we know the slope, m, and the y-intercept, (0, b), we can construct the equation.
Example 1: Find the equation of a line with slope
m
=
−
5
8
and y-intercept (0, 1).
Solution: The given y-intercept implies that
b
=
1
. Substitute the slope m and the y-value of the y-intercept b into the equation
y
=
m
x
+
b
.
Answer:
y
=
−
5
8
x
+
1