The standard equation is y = mx + b, where m is the slope, and b is the y-intercept. The slope is given as 4. Thus, y = 4x + b. The point (-2,-4) fits into the equation, so we can insert those x and y values into the equation.
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How do you find slope and intercept?
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.
How do you calculate an intercept?
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation y = 3 x − 1 displaystyle y=3x – 1 y=3x−1. To find the x-intercept, set y = 0 displaystyle y=0 y=0.
How do you calculate slope?
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
What is the slope of y =- 5 4xy?
Pre-Algebra Examples
Using the slope-intercept form, the slope is −4 .
What is the slope of y =- 4?
0
Explanation: Remember the standard linear equation: y=mx+b. The variables ‘mx’ represent the slope of a linear line meaning in the equation y=4, there is no slope, or a slope of 0.
How do you calculate slope and offset?
If the relationship between two parameters is linear, there is a straight line that can be drawn on a graph to describe this relationship. The equation of this line will be Y = mX + b where m is the multiplier (or slope of the line) and b is the offset(or the y-intercept of the line).
What is intercept math?
In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis.
What is the slope for 3?
0
Answer: The slope of the line y = 3 is equal to 0.
What is the slope of 4x?
Using the slope-intercept form, the slope is 4 .
What is the slope of 7 4x?
Using the slope-intercept form, the slope is −74 .
What is a slope of 5?
Imagine a slope of 5, this means for every step you take you go up 5 stairs. You get to the top and rise much quicker. Another visual example: Imagine you are going skiing. As you go down a slope, you expect the slope to be negative.
What is the slope of Y − 7?
Pre-Algebra Examples
Using the slope-intercept form, the slope is 0 .
How is offset value calculated?
Find a value that, when subtracted from your augmented X value, leaves zero; this is the offset value for X coordinates.For example, if the augmented X value is -105, you need to subtract -105 from it to get 0.
How do you calculate offset coordinates?
Calculation of coordinates of points on offset
The task of calculating coordinates of points on offset should start from the coordinates designate the distance between the known points A and B, the following formula: LAB = √________ Δx2 + Δy2, where Δx = XB – XA, Δy = YB – YA.
How do you find the slope multiplier?
Roof Pitch Multiplier Formula
Once you know your roof slope expressed as “X-in-12″ (rise-in-run), the roof pitch multiplier is determined by finding the square root of ((rise/run)² + 1). Remember that the slope of the roof provides the rise and the run to be plugged into the equation.
What is the Y-intercept formula?
The y-intercept formula says that the y-intercept of a function y = f(x) is obtained by substituting x = 0 in it. Using this, the y-intercept of a graph is the point on the graph whose x-coordinate is 0. i.e., just look for the point where the graph intersects the y-axis and it is the y-intercept.
What is the Y-intercept of 4x Y?
Using the slope-intercept form, the y-intercept is 0 .
What is intercept in y MX C?
The constant term in the equation (the + 1 or ‒ 2) shows the point where the graph crosses the -axis. This is known as the -intercept and is represented by the letter in y = m x + c .
What is the slope of 2x 7y 6?
Using the slope-intercept form, the slope is 27 .
What is the slope of y =- 2?
zero
Explanation: y=2 is a horizontal line, which has a slope of zero. x is the only variable that is changing, as y is always equal to 2 . Since we have no change in y , we have no “rise”, therefore the slope is zero.