The line equation in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
\Write the two functions as co-ordinates.
\First find the slope
\ (Substitute
)
(Product of two same signs is positive)
(Subtract: – 11 + 8 = – 3 and – 8 + 4 = – 4)
(Simplify) \ \
Next find the y-intercept
\Substitute the slope and the coordinates of the given point in slope-intercept form equation.
y = mx + b
\ (Substitute
for m, – 4 for x, and – 8 for y)
(Cancel common terms)
– 8 + 4 = – 4 + 4 + b (Add 4 to each side)
\– 8 + 4 = b (Apply additive inverse property: – 4 + 4 = 0)
\b = – 4 (Add: – 8 + 4 = – 4 )
Finally write the line equation
\Substitute the values of slope ‘m’ and y-intercept ‘b’ in slope intercept form line equation.
\y = mx + b
\ (Substitute
for m and – 4 for b)
(Product of two different signs is negative)
The function is .