ACT Math : How to find x or y intercept
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Example Questions
Example Question #4 :X And Y Intercept
What are the y and x intercepts of the given equation, respectively?
y = 2x – 2
(0, –2), (–2, 0)
(0, 0), (0, 0)
(0, –2), (1, 0)
(0, 2), (2, 0)
(0, –2), (2, 0)
(0, –2), (1, 0)
The equation is already in slope-intercept form. The y-intercept is (0, –2). Plug in 0 for y and we get the x intercept of (1, 0)
Example Question #5 :X And Y Intercept
What is thex-intercept of the following line?
y= –3x+ 12
1/4
4
–1/4
–4
2
4
Thex-intercept occurs when they-coordinate = 0.
y= –3x+ 12
0 = –3x+ 12
3x= 12
x= 12/3 = 4
Example Question #6 :X And Y Intercept
What is the
Example Question #7 :X And Y Intercept
What is the
The answer is
The slope of the line is determined by calculating the change in
The point-slope form of the equation for the line is then
Example Question #1 :How To Find X Or Y Intercept
What are the
To find the intercepts of a line, we must set the
Example Question #9 :X And Y Intercept
In the standard (x, y) coordinate plane, a circle has the equation
The generic equation of a circle is (x - x0)2+ (y - y0)2= r2, where (x0, y0) are the coordinates of the center and r is the radius.
In this case, the circle is centered at the origin with a radius of 8. Therefore the circle hits all points that are a distance of 8 from the origin, which results in coordinates of (8,0) and (-8,0) on the x-axis.
Example Question #1 :X And Y Intercept
What is the y-intercept of a line that passes through the point
Point-slope form follows the format y - y1= m(x - x1).
Using the given point and slope, we can use this formula to get the equation y - 8 = -2(x + 5).
From here, we can find the y-intercept by setting x equal to zero and solving.
y - 8 = -2(0 + 5)
y - 8 = -2(5) = -10
y = -2
Our y-intercept will be (0,-2).
Example Question #1 :How To Find X Or Y Intercept
Given the linear equation below, what are the x- and y-intercepts,respectively?
To find the x-intercept we will need to plug in zero for the y-value.
The x-intercept will be
To find the y-intercept we will need to plug in zero for the x-value.
The y-intercept will be
Example Question #1 :How To Find X Or Y Intercept
At what point do the lines
Short way:
The lines intersect somewhere because they have different slopes. Because they have the same y-intercept, they must intersect at that point.
Long way using substitution:
Plug this into
Find
Example Question #3 :How To Find X Or Y Intercept
Find the
To find the
And finally
It is important to realize that both
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