Answer:
y=−5x+5
Step-by-step explanation:
5x+y-13=0,(5,-20)
Rewrite in slope-intercept form.
y = − 5 x + 13
Using the slope-intercept form, the slope is − 5 . m = − 5
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope − 5 and a given point ( 5 , − 20 ) to substitute for x 1 and y 1 in the point-slope form y − y 1 = m ( x − x 1 ) , which is derived from the slope equation m = y 2 − y 1 x 2 − x 1 . y − ( − 20 ) = ( − 5 ) ( x − ( 5 ) )
Simplify the equation and keep it in point-slope form.
y + 20 = − 5 ⋅ ( x − 5 ) Solve for y .
y=−5x+5
