If point A is (-8,3) and point B is (-6,1) and slope is -1 what would the x and y intercepts be?
What would the equation be in standard form?
y -y1 = m(x-x1)
Use either point...
y-3 = -1(x+8
y-3= -1x -8
y = -x -5
Now, change to standard from
to find the x- intercept.. let y =0 and solve for x.
to find the y- intercept, let x = 0 and solve for y.
Henry had done this same question for you here
http://www.jiskha.com/display.cgi?id=1385944773
why did you repost it?
To find the x-intercept, you need to find the value of x when y is equal to zero. Similarly, to find the y-intercept, you need to find the value of y when x is equal to zero.
Let's start with finding the x-intercept. In the given case, we are given the points A (-8, 3) and B (-6, 1) that lie on the line. The slope of the line is -1.
First, we can compute the slope between points A and B. The slope formula is given by:
slope = (y₂ - y₁) / (x₂ - x₁)
Using the coordinates of points A and B, we can substitute the values into the slope formula as follows:
-1 = (1 - 3) / (-6 - (-8))
Simplifying the equation would give:
-1 = -2 / 2
Now, let's solve for the x-intercept. We know that the y-coordinate of the x-intercept is zero, so we can plug this value into the slope-intercept form of a line, y = mx + b, where m corresponds to the slope and b corresponds to the y-intercept. In this case, the equation would be:
0 = -1x + b
Knowing that the slope (m) is -1, we can substitute this value into the equation:
0 = -x + b
To solve for b, we can substitute the coordinates of one of the given points (A or B). Let's use point A (-8, 3):
0 = -(-8) + b
0 = 8 + b
Subtract 8 from both sides of the equation:
-8 = b
Thus, the y-intercept, or the value of b, is -8.
Now, we can write the equation of the line in slope-intercept form as:
y = -x - 8
To find the x-intercept, we substitute 0 for y in the equation:
0 = -x - 8
To isolate x, add x to both sides of the equation:
x = -8
Therefore, the x-intercept is -8.
The equation of the line in standard form is Ax + By = C, where A, B, and C are constants. To convert the equation from slope-intercept form to standard form, we can rearrange it:
y = -x - 8
Add x to both sides of the equation:
x + y = -8
The equation in standard form is:
x + y = -8