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The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.The equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. So the slope is − 3 , and the y-intercept is 2. This is a picture of a coordinate plane with the point (0,2) graphed on it.To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept–this should be of the form (0, b). The y- coordinate is the value of b in the equation.
- Find the slope using the slope formula. …
- Use the slope and one of the points to solve for the y-intercept (b). …
- Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
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How do you write equation of a line given the slope and y-intercept?
The equation is written in slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept. So the slope is − 3 , and the y-intercept is 2. This is a picture of a coordinate plane with the point (0,2) graphed on it.
How do you write equation of a line given the intercept?
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept–this should be of the form (0, b). The y- coordinate is the value of b in the equation.
Write the equation of a line given a slope and a point the line runs through
Images related to the topicWrite the equation of a line given a slope and a point the line runs through
How do you find the equation of a line with a given slope?
- Find the slope using the slope formula. …
- Use the slope and one of the points to solve for the y-intercept (b). …
- Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
How do you write an equation of a line?
If you put those values into the slope-intercept form, y = mx + b, you get the equation . Write the equation of the line that has a slope of and a y-intercept of −5. Substitute the slope (m) into y = mx + b. Substitute the y-intercept (b) into the equation.
Write an Equation of a Line Given its Slope and Y – Intercept
Images related to the topicWrite an Equation of a Line Given its Slope and Y – Intercept
How do you get the equation of a line?
- Identify the slope.
- Identify the point.
- Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
- Write the equation in slope-intercept form.
How do you write slope-intercept form of the equation of the line through the given point with the given slope?
The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.
See some more details on the topic How can you write the equation of a line given the slope and its intercept? here:
Identify the Slope and Intercept of a Line in Slope-Intercept Form
The equation is y = mx + b. The x and y variables remain as letters, but m and b are replaced by numbers (ex: y = 2x + 4, slope = 2 and …
Writing the Equation of a Line
Because this equation describes a line in terms of its slope and its y-intercept, this equation is called the slope-intercept form. When working with linear …
What is the equation in slope-intercept form of the line that passes through the points 4 2 and 12 6?
Recall that the slope of a line m = (y2 – y1) / (x2 – x1). We are given the coordinates of two points, both of which lie on the line (the line passes through them): (-4,2) and 12,6). y = 1/4 * x + 3.
Find the equation of a line through two points using slope intercept form
Images related to the topicFind the equation of a line through two points using slope intercept form
How do you find the equation of a line with one point and the slope calculator?
- Identify the point coordinates: x1 = 2 , y1 = -3 .
- Identify the slope: m = 2.
- Input the values into the point slope form formula: y – y1 = m (x – x1) y – (-3) = 2(x – 2)
- Simplify to get the general equation: y = 2x – 4 -3. 0 = 2x – y – 7.
What is the equation of the line that passes through the point (- 8 6 and has a slope of 1 4?
1 Expert Answer
The equation of the line will be y=Ax+B where we have to identify the constants A and B. Since the slope will be 1/4 we must have A=1/4. Since we need the line to pass through the point (-8,6) we have 6=(1/4)(-8)+B which is the same as 6=-2+B or B=8. Thus, y=(1/4)x+8.
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