Write an equation in slope-intercept form that describes the line with a slope of -2 and (5,4) is on the line
1 answer:
Answer:
The equation in slope-intercept form will be:
- y = -2x + 14
Step-by-step explanation:
Given
- slope = m = -2
- point (5, 4)
We know that the slope-intercept form of the line equation is
where m is the slope of the line and b is the y-intercept
substituting m = -2 and the point (5, 4) in the slope-intercept form to get the y-intercept 'b'
y = mx+b
4 = -2(5) + b
4 = -10 + b
b = 4+10
b = 14
now substituting m = -2 and b = 14 in the slope-intercept form to get the equation in slope-intercept
y = mx+b
y = -2x + 14
Therefore, the equation in slope-intercept form will be:
- y = -2x + 14
You might be interested in
Answer:
Option (2)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Point A is the midpoint of side XZ and point B is the midpoint of side YZ.
Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.
What is AX ?
2 units
4 units
6 units
8 units
From the figure attached,
XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.
By the theorem of midpoints,
AB =
Since AB = (x + 1) and XY = (5x - 7)
(x + 1) =
2x + 2 = 5x - 7
5x - 2x = 2 + 7
3x = 9
x = 3
Therefore, side AB = 3 + 1 = 4 units
Side XY = (5x - 7)
= 15 - 7
= 8 units
Side XA = 2(x - 1)
= 4 units
Therefore, Option (2) will be the answer.
Answer:
No, they are not equivalent
Step-by-step explanation: