Which statement about the line that passes through (- 2 0 and 2/4 are true?
The statement about the line that passes through (-2, 0) and (2, -4) that are true are: Option B:The line intersects the y-axis at (0, −2).
How do you write an equation of a line that passes through two points?
Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
What is the equation of the line through (- 2 5 and 0 3?
So the equation is y = (2/5)x – 3 The equation of a line is written in the form of y=mx+b.
What is the physical meaning of the slope?
inclination
What is the purpose of slope?
Slope measures the rate of change in the dependent variable as the independent variable changes. Mathematicians and economists often use the Greek capital letter D or D as the symbol for change. Slope shows the change in y or the change on the vertical axis versus the change in x or the change on the horizontal axis.
How do you explain the slope of a word?
In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis).
What is the slope of regression line?
A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).
What does slope mean in real life?
Slope is a measure of steepness. Some real life examples of slope include: in building roads one must figure out how steep the road will be. skiers/snowboarders need to consider the slopes of hills in order to judge the dangers, speeds, etc. when constructing wheelchair ramps, slope is a major consideration.
What is the equation of the line of best fit?
The line of best fit is described by the equation ŷ = bX + a, where b is the slope of the line and a is the intercept (i.e., the value of Y when X = 0).
How do you interpret a slope as a rate of change?
Students interpret slope as rate of change and relate slope to the steepness of a line and the sign of the slope, indicating that a linear function is increasing if the slope is positive and decreasing if the slope is negative.
Is rate of change the same as slope?
When finding the slope of real-world situations, it is often referred to as rate of change. “Rate of change” means the same as “slope.” If you are asked to find the rate of change, use the slope formula or make a slope triangle.
What is the difference between slope and rate of change?
Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.
Which line has the greatest slope?
black line
How do you calculate rate of change?
Understanding Rate of Change (ROC) The calculation for ROC is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.
What is the formula for rate?
However, it’s easier to use a handy formula: rate equals distance divided by time: r = d/t.
What is a rate in math?
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
What is starting value?
The initial value of a function is the point at which a function begins. …