How do you write an equation in slope intercept form given the slope and a point?
Slope Intercept form is y = mx + b, where
m = the slope and b = the y- intercept.
Slope is determined by formula
if you had the coordinates of two points on the line.
b is the point at which the line will cross (intercept) the y-axis.
If a problem asked for the slope intercept form and provides a slope and a single point on the line you could find the equation with two different methods.
What is the slope intercept equation of a line with a slope of m = 3/4 and a point on the line of (4 , 5)?
The first method is to us the slope-intercept equation and plug in values to solve for b.
5 = 3 + b (isolate b)
5 - 3 = b (simplify)
b = 2
The slope-intecept equation would be y =
The second method is to use the point-slope formula
Plug in the information and simplify for the equation.
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