What is the equation in slope intercept form that passes through the point (3,9) and has a slope of -5?
2 Answers
Explanation:
Given:
Point:
Slope:
First determine the point-slope form , then solve for
Point-slope form:
where:
Plug in the known values.
Slope-intercept form:
where:
Solve for
Expand the right-hand side.
Add
Simplify.
Since the slope-intercept form is
Explanation:
The slope-intercept form is
The slope is
And there's a point
What we do not know is the
Since every point on the line must obey the equation, we could substitute the
And then solve algebraically:
Multiply:
Add both sides by
So now we know that the
Therefore, the slope-intercept form for this line is: