The linear equation 24x-6y=18 can be rewritten in slope-intecept form as y=4x-3. The slope of the graph is 4 and the y-intercept is -3. To graph, begin at the y-intercept and use the slope to locate the next point, then draw a line through these points.
The equation the student wants to graph is 24x-6y=18. To plot this equation, start by solving for y to put this equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
To do this, subtract 24x from both sides to get -6y = -24x + 18. Then, divide every term by -6 to yield y=4x-3. So, the slope (m) of the line is 4 and the y-intercept (b) is -3.
Begin graphing by plotting the y-intercept (0,-3) on the graph. From there, use the slope to find your next point by going up 4 units and right 1 unit. Draw a line through these points, and you have your graph.
Learn more about Graphing Linear Equations here:
#SPJ2
Assuming that you mean that the equation of line c is
We can deduce that the slope of line c is
since the slope is the coefficient multiplying x in the equation of a line. Since we want line d to be perpendicular to line c, their slope must be in the following relationship:
So, line d has slope 3/4 and passes through point (4,-4). Use the equation
to find the equation of line d, where
Answer:
r = -9
Step-by-step explanation:
Subtract 8 from both sides to get 2r = -18. Divide by 2 on both sides to get r = -9.
Answer:
r=-9
Step-by-step explanation:
Step 1:- Simplify both sides of the equation.
2r+8 = -10
Step 2:- For isolating the variable, subtract 8 from both sides.
2r+8-8 = -10-8
2r = -18
Step 3:- For isolating the variable, divide by 2 from both sides.
2r/2 =-18/2
r= -9
Hope this helps :)
• The measure of angle B is 70°
• The measure of angle Cis (4x)
What is the value of x?
The measure of the value x of the triangle is x = 20.
Given data:
In a triangle, the sum of the angles is always 180 degrees. Therefore, we can set up an equation using the given angle measures:
Angle A + Angle B + Angle C = 180
Substitute the given angle measures:
(2x - 10) + 70 + 4x = 180
Combine like terms:
6x - 10 + 70 = 180
Simplify:
6x + 60 = 180
Now, subtract 60 from both sides of the equation:
6x = 120
Finally, divide both sides by 6 to solve for x:
x = 20
Hence, the value of x is 20 and the angles are solved.
To learn more about triangles, refer:
#SPJ3
x is equal to 20.
The angles of one triangle always add up to 180°, so we can add the measures of each angle together and make an equation.
equation —> 2x - 10 + 70 + 4x = 180
After combining like terms, we get 6x + 60 = 180.
Then we can subtract 60 from both sides to isolate the variable, and the equation becomes 6x = 120. Then we can divide both sides by 6 to get the value of x. The equation becomes x = 20.