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Find the slope intercept form of the line with a slope is “2” and the y-intercept “5”. Solution: Step 1: Slope of the line = m = 2 y-intercept = c = 5. Step 2: The slope intercept form of linear equations is: y = mx+c. m = 2 and c = 5. ⇒ y = 2x +5. By putting the given values in slope intercept formula you will get the slope intercept ...
Your unknowns are the slope m and the y-intercept b. Firstly, substitute the coordinates of the two points into the slope intercept equation: (1) y₁ = mx₁ + b (2) y₂ = mx₂ + b. Then, subtract the first equation from the second: y₂ - y₁ = m(x₂ - x₁) Finally, divide both sides of the equation by (x₂ - x₁) to find the slope:
To find the slope and the y-intercept of the line given by the equation − 4 x − y = 2, we need to convert this equation into the slope-intercept form, which is: y = m x + b. where m represents the slope, and b is the y-intercept. Let's start by solving the equation − 4 x − y = 2 for y: Isolate y: Move − 4 x to the other side by adding ...
You can use this y-intercept calculator in three modes:. To calculate the x-and y-intercepts along with the line's slope from its general equation:. Choose the mode "Line equation is ax + by + c = 0".; Enter the values for a, b, and c, and the calculator will provide you with all the answers!; To calculate the slope, y-intercept, and x-intercept of a line from its slope-intercept form:
For starters, it’s important to remember that linear equations can be expressed in slope-intercept form, also known as y = mx + b form, where: slope-intercept form: y = mx + b. m is the slope. b is the y-intercept. For example, a line with the equation y = ⅓x + 4 has a slope of ⅓ and a y-intercept at 4. What exactly is a y-intercept?
Graph 4x-y=2. Step 1. Solve for . Tap for more steps... Step 1.1. Subtract from both sides of the equation. Step 1.2. Divide each term in by and simplify. ... The slope-intercept form is , where is the slope and is the y-intercept. Step 2.2. Reorder and . Step 3. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps ...
To find the slope and the y-intercept of the line given by the equation 4 x + 2 y = 2, we can follow these steps: Convert the equation to slope-intercept form: The slope-intercept form of a linear equation is y = m x + b, where m is the slope and b is the y-intercept. Solve for y: Start with the original equation: 4 x + 2 y = 2
Y = 4x + (-16) Y = 4x – 16 . Example 2: For one point and slope. Calculate the linear equation of the line if the slope of the line is 12 and points are (11, 4). ... Step 2: Now put the slope and y-intercept to the general expression of the slope intercept of the line. Y = mx + b. Y = 12x + (-3) Y = 12x – 3. References.
Example 1: Given Slope and Y-Intercept Problem: If the slope m = 2 and y-intercept b = −3, find the slope-intercept form of the line and graph it.. Solution: Insert the values of the slope m and y-intercept b into the equation y = mx + b:. y = 2x − 3; Graphing Steps:. Start by plotting the y-intercept point. The y-intercept b being − 3 indicates that it is located at the point (0, − 3).
Slope-Intercept Form of a Line ([latex]y = mx + b[/latex]) The slope-intercept is the most “popular” form of a straight line. Many students find this useful because of its simplicity. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and [latex]y[/latex]-intercept can easily be ...
Find the Slope y=4x-2. Step 1. The slope-intercept form is , where is the slope and is the y-intercept. Step 2. Using the slope-intercept form, the slope is . Step 3 ...
The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept. To find the slope and y-intercept of the line 4x - 2y = 8, we need to rearrange the equation into the slope-intercept form. Start by isolating the y-term: 4x - 2y = 8-2y = -4x + 8. Divide both sides by -2: y = 2x - 4
Find the y-intercept 4x+y-2=0. Step 1. Rewrite in slope-intercept form. Tap for more steps... Step 1.1. The slope-intercept form is , where is the slope and is the y-intercept. Step 1.2. Move all terms not containing to the right side of the equation. Tap for more steps... Step 1.2.1. Subtract from both sides of the equation.
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🍕Slope-intercept form is a delicious equation for helping students model linear relationships in the form: y = mx + b . where: b is the base cost (the starting price of a plain pizza — no toppings), m is the price per topping (the rate of change or slope), x is the number of toppings. and y is the total cost.
The y-intercept of the line 4x + 2y = -2 is -1, and the slope is -2. These values are derived by rewriting the equation in slope-intercept form. The final equation is y = -2x - 1.
