im learnin about y=mx+b
1.describe the line you think each equation represent
Y=x, y=5, x=-3
2. The equation of a line is y=mx+2. determione the value of m when the line passes through each point
D(12.5) s(1.-3)
e(-2.6) a(-5.1)
answered below, for "kevin"
1. To describe the line each equation represents, we can use the standard form of a linear equation, y = mx + b.
a) For the equation y = x, the line represents a straight line where the y-coordinate is equal to the x-coordinate. This means that for every value of x, y will have the same value. The line passes through the origin (0, 0) and has a slope of 1.
b) For the equation y = 5, the line represents a horizontal line passing through the y-coordinate of 5. This means that for any value of x, the y-coordinate will always be 5. The line is parallel to the x-axis and has a slope of 0.
c) For the equation x = -3, the line represents a vertical line passing through the x-coordinate of -3. This means that for any value of y, the x-coordinate will always be -3. The line is parallel to the y-axis and doesn't have a slope defined (it is undefined).
2. To determine the value of m when the line passes through each given point (D, S, E, A), we can utilize the point-slope form of a linear equation, which is y - y1 = m(x - x1).
a) Point D (12, 5)
Substituting the coordinates (x1, y1) = (12, 5) into the equation, we get:
y - 5 = m(x - 12)
b) Point S (1, -3)
Substituting the coordinates (x1, y1) = (1, -3) into the equation, we get:
y - (-3) = m(x - 1)
c) Point E (-2, 6)
Substituting the coordinates (x1, y1) = (-2, 6) into the equation, we get:
y - 6 = m(x - (-2))
d) Point A (-5, 1)
Substituting the coordinates (x1, y1) = (-5, 1) into the equation, we get:
y - 1 = m(x - (-5))
By setting up these equations, you now have four different linear equations with the variable m. To solve for m, you will need additional information or another equation involving m to determine its specific value.