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Identify the y intercept of a line that has a slope of 23 and goes through the point (91)?
To find the y-intercept of a line with a slope of 23 that passes through the point (9, 1), we can use the point-slope form of a linear equation, which is (y - y_1 = m(x - x_1)). Substituting in the slope (m = 23) and the point (x₁, y₁) = (9, 1), we get (y - 1 = 23(x - 9)). Simplifying this, we find the y-intercept occurs when (x = 0), leading to (y = 23(0 - 9) + 1 = -206 + 1 = -205). Therefore, the y-intercept is -205.
What else can I help you with?
How do you graph a line giving its equation in slope-intercept form?
To graph a line given its equation in slope-intercept form, which is (y = mx + b), identify the slope (m) and the y-intercept (b). Start by plotting the y-intercept on the y-axis at the point (0, b). Then, use the slope to determine another point by rising (or falling) and running from the y-intercept, and plot this second point. Finally, draw a straight line through the two points to complete the graph.
If A line has a slope of mc012-1.jpg and passes through point mc012-2.jpg. What is the value of the y-intercept?
To find the y-intercept of a line with a given slope and a point it passes through, you can use the slope-intercept form of a line, which is (y = mx + b), where (m) is the slope and (b) is the y-intercept. Substitute the coordinates of the given point and the slope into the equation to solve for (b). Rearranging the equation will yield the value of the y-intercept. Without specific numerical values for the slope and point, I can't provide a numerical answer, but this is the method to find it.
How can you use the slope and y intercept to graph an equation?
To graph a linear equation in slope-intercept form (y = mx + b), identify the slope (m) and the y-intercept (b). Start by plotting the y-intercept on the y-axis at the point (0, b). Then, use the slope to determine the rise over run; from the y-intercept, move up or down (rise) and left or right (run) to plot another point. Finally, draw a straight line through these points to complete the graph.
What is the difference between slope-intercept form and point-slope form?
Slope-intercept form (y = mx + b) expresses a linear equation in terms of the slope (m) and the y-intercept (b), making it easy to identify these key features directly from the equation. In contrast, point-slope form (y - y₁ = m(x - x₁)) focuses on a specific point (x₁, y₁) on the line and the slope (m), which is useful for writing the equation when a point and the slope are known. Essentially, slope-intercept form is best for graphing, while point-slope form is ideal for deriving equations from given points.
When is it helpful to convert from point-slope to slope-intercept form?
Converting from point-slope to slope-intercept form is helpful when you want to easily identify the y-intercept of a linear equation, making it simpler to graph the line. Slope-intercept form ((y = mx + b)) clearly shows the slope ((m)) and the y-intercept ((b)), facilitating quick analysis and comparisons with other lines. This conversion is particularly useful in applications involving linear models or when analyzing intersections with other lines.
How do you graph a line giving its equation in slope-intercept form?
To graph a line given its equation in slope-intercept form, which is (y = mx + b), identify the slope (m) and the y-intercept (b). Start by plotting the y-intercept on the y-axis at the point (0, b). Then, use the slope to determine another point by rising (or falling) and running from the y-intercept, and plot this second point. Finally, draw a straight line through the two points to complete the graph.
Write in slope intercept form the equation of the line that is parallel to the given line and passes through the given point?
Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (2, -8).
If A line has a slope of mc012-1.jpg and passes through point mc012-2.jpg. What is the value of the y-intercept?
To find the y-intercept of a line with a given slope and a point it passes through, you can use the slope-intercept form of a line, which is (y = mx + b), where (m) is the slope and (b) is the y-intercept. Substitute the coordinates of the given point and the slope into the equation to solve for (b). Rearranging the equation will yield the value of the y-intercept. Without specific numerical values for the slope and point, I can't provide a numerical answer, but this is the method to find it.
How can you use the slope and y intercept to graph an equation?
To graph a linear equation in slope-intercept form (y = mx + b), identify the slope (m) and the y-intercept (b). Start by plotting the y-intercept on the y-axis at the point (0, b). Then, use the slope to determine the rise over run; from the y-intercept, move up or down (rise) and left or right (run) to plot another point. Finally, draw a straight line through these points to complete the graph.
What is the difference between slope-intercept form and point-slope form?
Slope-intercept form (y = mx + b) expresses a linear equation in terms of the slope (m) and the y-intercept (b), making it easy to identify these key features directly from the equation. In contrast, point-slope form (y - y₁ = m(x - x₁)) focuses on a specific point (x₁, y₁) on the line and the slope (m), which is useful for writing the equation when a point and the slope are known. Essentially, slope-intercept form is best for graphing, while point-slope form is ideal for deriving equations from given points.
When is it helpful to convert from point-slope to slope-intercept form?
Converting from point-slope to slope-intercept form is helpful when you want to easily identify the y-intercept of a linear equation, making it simpler to graph the line. Slope-intercept form ((y = mx + b)) clearly shows the slope ((m)) and the y-intercept ((b)), facilitating quick analysis and comparisons with other lines. This conversion is particularly useful in applications involving linear models or when analyzing intersections with other lines.
What does intercept mean in the expression slope-intercept form?
It means the point at which the straight line cuts through the y axis.
How do you Graph a line with a slope passing through the point 4-3?
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How do you graph using slope intercept form with y and x intercept?
To graph a linear equation using slope-intercept form (y = mx + b), identify the y-intercept (b), which is the point where the line crosses the y-axis. Plot this point on the graph. Next, use the slope (m), which is the rise over run, to determine another point by moving up or down (rise) and left or right (run) from the y-intercept. Finally, draw a line through the two points, extending it in both directions to represent the equation.
Is the point slope equation the same as the point slope intercept form?
no it is different
What is an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line?
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4
What is point intercept form?
Point slope? y=mx+b M being the slope, and b being the y-intercept.
