What is the correct equation of the line shown below?
Y=3/2x + 3
Y=-3/2x - 3
Y=2/3X + 3
Y= -2/3X -3
The correct equation of the line shown below is Y = 3/2x + 3.
The X intercept of a line is -5 and the y-intercept of the line is -2 what is the equation of the line?
Y= -5/2x - 5
Y=2/5x + 2
Y= 5/2x - 2
Y= -2/5x-2
To find the equation of the line, we can use the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Given that the y-intercept is -2, we have b = -2.
To find the slope, we can use the coordinates of the x-intercept (-5, 0) and the y-intercept (0, -2).
Using the formula for slope (m = (y2 - y1) / (x2 - x1)), we have:
m = (-2 - 0) / (0 - (-5))
m = -2 / 5
So, the slope is -2/5.
Plugging in the values for m and b in the slope-intercept form, we get:
Y = (-2/5)x - 2
Therefore, the correct equation of the line is Y = (-2/5)x - 2.
What is the slope intercept form of the equation
Y -7= -5/2(x+4)
To rewrite the equation in slope-intercept form (y = mx + b), we need to solve for y.
First, distribute the -5/2 to the terms inside the parentheses:
Y - 7 = (-5/2)(x) + (-5/2)(4)
Y - 7 = -5/2x - 20/2
Y - 7 = -5/2x - 10
Then, combine like terms:
Y = -5/2x - 10 + 7
Y = -5/2x - 3
Therefore, the slope-intercept form of the equation Y - 7 = -5/2(x + 4) is Y = -5/2x - 3.
What is the standard form of the equation Y= -3/2x + 5
The standard form of a linear equation is Ax + By = C, where A, B, and C are constants and A and B are not both zero.
To convert the equation Y = -3/2x + 5 to standard form, we multiply through by 2 to eliminate fractions:
2Y = -3x + 10
Then, we rearrange terms to get all the variables on one side:
3x + 2Y = 10
Therefore, the standard form of the equation Y = -3/2x + 5 is 3x + 2Y = 10.