what is the constant of proportionality or slope of the graph?
a.2/5
b.5/2
c.0
d.undefined
i would send the link the the photo but it won't let me
ive ruled out c and d, since they're both straight lines, c being horizontal and d being vertical, so it's a 50/50
What is slope-intercept form?
Slope-intercept is a specific form of linear equations. It has the following general structure. Drum roll ...
\Large y=\maroonC{m}x+\greenE{b}y=mx+by, equals, start color #ed5fa6, m, end color #ed5fa6, x, plus, start color #0d923f, b, end color #0d923f
Here, \maroonC{m}mstart color #ed5fa6, m, end color #ed5fa6 and \greenE{b}bstart color #0d923f, b, end color #0d923f can be any two real numbers. For example, these are linear equations in slope-intercept form:
y=2x+1y=2x+1y, equals, 2, x, plus, 1
y=-3x+2.7y=−3x+2.7y, equals, minus, 3, x, plus, 2, point, 7
y=10-100xy=10−100xy, equals, 10, minus, 100, x [But this equation has x in the last term!]
On the other hand, these linear equations are not in slope-intercept form:
2x+3y=52x+3y=52, x, plus, 3, y, equals, 5
y-3=2(x-1)y−3=2(x−1)y, minus, 3, equals, 2, left parenthesis, x, minus, 1, right parenthesis
x=4y-7x=4y−7x, equals, 4, y, minus, 7
Slope-intercept is the most prominent form of linear equations. Let's dig deeper to learn why this is so.
so, after seeing this, solve for the answer
To determine the constant of proportionality or slope of a graph, you need to examine the equation or formula that relates the two variables being graphed.
If the graph represents a linear relationship between the variables, meaning that the graph is a straight line, then the slope of the graph represents the constant of proportionality. The slope measures how steep or gradual the line is.
To find the slope, select any two points on the line, and calculate the change in the Y-values divided by the change in the X-values. In other words, you need to determine the vertical change (ΔY) divided by the horizontal change (ΔX).
However, without additional information or the specific equation or graph, it is not possible to determine the constant of proportionality or slope of the graph. Therefore, the correct answer is (d) undefined.