On the same graph draw line 2y-x=10 and y=3x
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Answer:
The equation of the line that is parallel to given line and passes through the point (-8, -3) is:
Step-by-step explanation:
Given equation of line is:
The general form of equation of line in slope-intercept form is written as:
Here m(co-efficient of x) is the slope of the line and b is the y-intercept.
Comparing the given equation with the general form we get
m = 5
Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.
Let m1 be the slope of required line parallel to y=5x-3
Then m1=5
Putting in general form
To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.
The point is (-8,-3)
Putting the value of b and m1, we get
Hence,
The equation of the line that is parallel to given line and passes through the point (-8, -3) is:
<em>Absolute value represents distance from zero on a number line.</em>
<em>-7 and 7 are the same distance away from zero, 7 units.</em>
<em>To visualize this, take a look at the image I have made below.</em>
