Answer:
Step-by-step explanation:
The equation of a line in point-slope form is
where y1 and x1 are 2 known points, and m is the slope of the line. So simply just fill in the blanks.
y is a variable so it is left alone (since there is no subscript).
y1 we are told is 1.
m we are told is -3 (the slope)
x is a variable so it is left alone (since there is no subscript).
x1 we are told is 6.
Answer:
y=-2x-3
Step-by-step explanation:
Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b. Therefore:
Therefore, our slope is 1/2 and our y-intercept is 2. Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning (negative reciprocal). Now we must use the point slope formula:
Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:
Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.
