ax+by c slope and y intercept
Linear Equations and Lines
An equation of the form y = ax+b is called a linear equation in slope-intercept form Write your answers in the slope-intercept form y = ax + b 21) (8-2) |
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
Thinking about intercepts helps us graph linear equations.
What is the formula for slope and intercept?
The form y=mx+b means slope m and y-intercept b; similarly, the form y=mx+a means slope m and y-intercept a.
The form y=m(x-a) is essentially different from the other two forms, and means slope m and x-intercept (instead of y-intercept) a.
What is the slope and intercept of ax by c?
Answer: For an equation of the line in the form ax + by = c, y-intercept = (c / b) and slope = -(a / b)
What is the slope of ax intercept?
At the x-intercept, the y value for a point is always 0, 'At the x-axis, y = 0. ' So sub 0 in for y and you get: 'y= mx+b' -> '0=mx+b' -> '-mx=b' -> 'x (intercept) =-b/m'.
So the x-intercept is -(y-intercept)/slope.
Mathcentre
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Mathcentre
The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c. www.mathcentre.ac.uk. 5 c mathcentre 2009. Page 6 |
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