Answer:
We conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
where
Given the line
y = -3/4x + 1
comparing with the slope-intercept form of the line equation
The slope = m = -3/4
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = -3/4
Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3
Using the point-slope form

where m is the slope of the line and (x₁, y₁) is the point
substituting the values of the slope = 4/3 and the point (12, 9)


Add 9 to both sides



Therefore, we conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:
Answer:
multiply 4 and 6 and the answer should be n-24
Step-by-step explanation:
n-4*6
n-24
Answer:
We'll solve that in parts.
The upper part is a right triangle that is 4 by (2 + 2 +6)
Area = (4 * 10) /2 = 20
The bottom of that figure is made of 3 parts.
A) a 2 by 2 right triangle. area equals (2*2)/2 = 2
B) a 2 by 2 square whose area equals 2*2 = 4
C) a 6 by 2 right triangle whose area equals (6*2) / 2 = 6
Total Area = 20 + 2 + 4 + 6 = 32
Step-by-step explanation:
Answer:
5 times 7 is 35
Step-by-step explanation:
u multiplies 7 times 5
Answer:
The equation for b would be y = 1/2x + 1
Step-by-step explanation:
In order to find this, start by finding two points on the line. We'll use (0,1) and (2, 2). From there we start by finding the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - 1)/(2 - 0)
m = 1/2
Now using that, we can plug it, along with a point into point-slope form to get the answer.
y - y1 = m(x - x1)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1