Question 116865: Use the slope-intercept form of the linear equation to write an equation of the line with given slope and y-intercept.
Slope -2/5; y-intercept (0,4)
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! The slope-intercept form for the equation of a line is:
.
y = mx + b
.
in which m, the multiplier of the x, is the slope, and b is the value of y where the line
crosses the y-axis.
.
In this problem you are given that the slope is -2/5, and the y-intercept is (0, 2). When you
substitute the given slope the slope-intercept form becomes:
.
y = (-2/5)*x + b
.
The y value of the point (0, 4) is +4. So b in the slope-intercept form is +4. Substituting
this into the slope intercept for this equation makes it:
.
y = (-2/5)*x + 4
.
And that's the answer to this problem. It's the slope-intercept form of an equation for
the line with the given slope and the y-intercept (0, 4).
.
Hope this helps you to understand the use of the slope-intercept form of the equation for
a line.
.
|
|
|
