The equation of line AB is y 5x+ 1. Write an equation of a line paraliei to line AB in slope-intercept form that contains point (4, 5)
2 answers:
Answer:
The equation would be y = 5x - 15
Step-by-step explanation:
To find the equation to this line, we first have to note that parallel lines have the same slope. Since the original line has a slope of 5, we know that the new line will also have that slope. Then we can use the slope and the point in point-slope form and solve for y.
y - y1 = m(x - x1)
y - 5 = 5(x - 4)
y - 5 = 5x - 20
y = 5x - 15
Your equation is already in the slope-intercept form
So, the slope of your line is 5.
Parallel lines have the same slope, so our unknown line has slope 5 as well.
Now use the slope-point formula to find the equation of the unknown line:
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