Answer: y = -2x + 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their slope = -1, that is , if
is the slope of the first line and
is the slope of the second line , if the two lines are perpendicular , then 
= -1
The equation of the line given :
y = 1/2x - 1
comparing with the equation of line in slope intercept form
y = mx + c , where m is the slope and c is the y - intercept , it implies that
= 1/2
Therefore :
= -2
To find the equation of the line with slope -2 and passes through the point ( 3 , 4 ) we will use the formula
= m (
)
y - 4 = -2 ( x - 3 )
y - 4 = -2x + 6
y = -2x + 6 + 4
y = -2x + 10
So by looking at this equation you should look to see it's key features which will help you graph the equation. the first key feature is the slope, the slope lets you know the angle at which the line will be, the slope in an equation will always be the number multiplied by x ( in this case it'd be 3/4). The second feature is the y intercept, the y intercept is where the equations line crosses the y axis, the y intercept in a graph will always be what is added or subtracted after the x (in this case it'd be 3).
To simplify what I said look at the following:
Slope: 3/4
Y intercept: 3
Hope this helps!
Answer:
4k+11=4011
Step-by-step explanation:
7k - 3k=4k
4k+11=4011