Honestly so confused
1 answer:
You might be interested in
Hi there! You are provided with two points, this is all you need to calculate the line's slope.
The equation for slope is:
Slope: -2/4
Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.
y - 10 = -2/4(x - 3)
Write the equation in slope-intercept form (y=mx+b)
A) -2/4
B) y - 10 = -2/4(x - 3)
C) y = -2/4x + 11.5
Answer:
The answer is below
Step-by-step explanation:
a) y=3x-1
The standard equation of a line is given by:
y = mx + c
Where m is the slope of the line and c is the intercept on the y axis.
Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:
3 × d = -1
d = -1/3
To find the equation of the perpendicular line passing through (0,0), we use:
To find x if the point P(x, 4) lies on the new line, insert y = 4 and find x:
b) y=1/4 x+2
Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:
1/4 × f = -1
f = -4
To find the equation of the perpendicular line passing through (0,0), we use:
To find x if the point P(x, 4) lies on the new line, insert y = 4 and find x: