Answer:
Problem 4: y = -8x+b
Problem 5: C: 3x-2
Step-by-step explanation:
<u>Problem 4:</u>
The given line is in slope intercept form.
The slope-intercept form is:
Here the co-efficient of x is the slope of the line. Comparing the given equation with general form
m = -8
Two parallel lines have same slope so the slope of line will be -8.
b can be any positive or negative integer as we don't know any point on the line parallel to given line.
<u>Problem 5:</u>
Slope = 3
y-intercept = -2
Slope intercept of line is given by:
here m is slope and b is y-intercept
Putting the values
Option C: y=3x-2 is the correct answer
Hence,
Problem 4: y = -8x+b
Problem 5: C: 3x-2
5 + 4 = 9
Imagine you have 5 apples and then you add 4 more on,
5 + 1 + 1 + 1 + 1 = 9
Hope this helps.
Hello!
The equation for slope intercept form is y = mx + b, where m is the slope and b is the y intercept.
We can first find the slope. Perpendicular lines have slopes which are negative reciprocals of each other. This means that the slope of the line you're looking for would be the negative reciprocal of -2/9. The negative reciprocal of -2/9 is 9/2. Therefore, m = 9/2.
Substitute this into the equation. y = 9/2x + b. Now substitute in the point given and solve for b.
y = -4, x = -2
-4 = 9/2 (-2) + b
-4 = -9 + b
b = 5
Therefore, the final equation is y = 9/2x + 5.
Hope this helps!
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