Can someone please check my work?
Write the slope-intercept (y = mx +b) form of the equation from the information given.
1. Slope = ½ and b = -3
Y=1/2-3
2. Slope equals 2 and the line goes through the point (-1, 3)
Y=2x+5
3. The line goes through the points (8,5) and (9, 6)
Y=x-3
4. The line goes through the points (-1, -7) and (-8, -2)
Y=-5/7x+(-54/7)
5. The line goes through the points (1/2, 3/2) and (-1/4, 5/4)
Y=1/3x+4/3
good job, all correct except a technically in the first.
You forgot the x in (1/2)x
1. Slope = ½ and b = -3
Y=1/2-3 ---------> y =(1/2)x - 3
Oh ok thank you soo much!!
Write the equation of each line using the given information.
The points
(
2
,
1
.
5
)
2
,
1
.
5
and
(
−
5
,
36
.
5
)
-
5
,
36
.
5
both lie on the line.
m
=
4
m
=
4
and the point
(
3
,
15
)
3
,
15
lies on the line.
It has the same slope as
y
=
1
y
=
1
and passes through
(
3
,
−
8
)
3
,
-
8
.
m
=
2
m
=
2
and it has a y-intercept of
(
0
,
4
)
0
,
4
.
To check your work for writing the slope-intercept form of the equation, we need to substitute the values of slope and y-intercept into the equation y = mx + b.
1. Slope = ½ and b = -3
The correct equation is:
Y = (1/2)x - 3
2. Slope equals 2 and the line goes through the point (-1, 3)
To find the y-intercept (b), we can substitute the given coordinates into the equation and solve for b.
3 = 2(-1) + b
3 = -2 + b
b = 5
The correct equation is:
Y = 2x + 5
3. The line goes through the points (8,5) and (9, 6)
To find the slope (m), we use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the given points.
m = (6 - 5) / (9 - 8)
m = 1
Now we can substitute the slope and one of the points into the equation to solve for the y-intercept.
5 = 1(8) + b
5 = 8 + b
b = -3
The correct equation is:
Y = x - 3
4. The line goes through the points (-1, -7) and (-8, -2)
To find the slope (m), we use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the given points.
m = (-2 - (-7)) / (-8 - (-1))
m = 5 / -7
m = -5/7
Now we can substitute the slope and one of the points into the equation to solve for the y-intercept.
-7 = (-5/7)(-1) + b
-7 = 5/7 + b
b = -54/7
The correct equation is:
Y = (-5/7)x - 54/7
5. The line goes through the points (1/2, 3/2) and (-1/4, 5/4)
To find the slope (m), we use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the given points.
m = (5/4 - 3/2) / (-1/4 - 1/2)
m = (5/4 - 6/4) / (-1/4 - 2/4)
m = (-1/4) / (-3/4)
m = 1/3
Now we can substitute the slope and one of the points into the equation to solve for the y-intercept.
3/2 = (1/3)(1/2) + b
3/2 = 1/6 + b
b = 4/3
The correct equation is:
Y = (1/3)x + 4/3
By checking your work using the correct steps, we can see that equations 1, 2, 3, 4, and 5 are incorrect.