Use the point slope form line equation y+4=-4(x-2). what point does this line pass through. Rewrite this equation in slope-intercept form. What is the x-intercept of this line.
- print Print
- list Cite
Expert Answers
calendarEducator since 2013
write151 answers
starTop subjects are Math, Science, and Arts
The slope of a line is defined as the change in y divided by the change in x:
Slope=`(Deltay)/(Deltax)`
Given a point `(x_1,y_1)`, the change in y can be written as
`Deltay=y-y_1`
And the change in x can be written as:
`Deltax=x-x_1`
The equation of the line can then be written:
`y-y_1=(Slope)(x-x_1)`
In `y-(-4)=-4(x-2)` the point `(x_1,y_1)` is equal to (2,-4) and the slope is equal to -4.
Therefore the line passes through the...
(The entire section contains 2 answers and 250 words.)
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Related Questions
- A line having a slope of 3/4 passes through the point (−8,4).Write the equation of this line in...
- 1 Educator Answer
- y-3=3(x+1) equation. rewrite this equation in slope intercept form. & what is the...
- 1 Educator Answer
- use the point slope form linear equation given to complete problem. y-3=3(x+1)what is the slope...
- 1 Educator Answer
- ``slope 3, passes through (-2, 4)`` Write an equation in slope-intercept form that satisfies...
- 3 Educator Answers
- How can I solve this math equation? Rearrange the equation into slope y-intercept form, and then...
- 1 Educator Answer
calendarEducator since 2010
write12,544 answers
starTop subjects are Math, Science, and Business
The equation of a line through (a,b) with slope m is given by (y - b)/(x - a) = m
The equation of the line that is given can be rewritten in this form.
y + 4 = -4*(x - 2)
(y + 4)/(x - 2) = -4
This line passes through the point (2, -4).
In slope intercept form this line has an equation of the form y = mx + c
y + 4 = -4*(x -2 )
y + 4 = -4x + 8
y = -4x + 4
At the x-intercept, the y-coordinate is 0.
0+ 4 = -4*x + 8
-4*x = -4
x = 1
The x-intercept is 1.
y+4=-4(x-2)
Recall the point slope formula:
y - y1 = m(x - x1) where m is the slope and (x1,y1) is a point.
Realize that y1 = -4 and x1 = 2 so a point that this line goes through is (2, -4)
To get this into slope intercept, just distribute the -4 and solve for y like this:
y + 4 = -4x + 8
y + -4x + 8 - 4
y = -4x + 4 Done!
The x-intercept means the y value is 0 so plug that in and solve for x:
0 = -4x + 4
x = -4/-4 = 1
Student Answers