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What is the equation of the line that passes through (-3, 6) and has a slope of -2?
First, we need to write the equation of the line in point-slope form:-
Replace y1 with 6, m with -2, and x1 with -3:-
On simplification,
On further simplification,
Add 6 on both sides:-
<h3>Good luck with your studies.</h3>
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Answer:
The form y=mx+b means slope m and y-intercept b; similarly, the form y=mx+a means slope m and y-intercept a.
The slope-intercept form of the equation of a line is a useful form for graphing as well as for understanding the relationship between x and y. In this lesson, learn how the slope-intercept form helps you understand the equation of a line.
The equation of a line can be written many different ways, and each of these ways is valid. The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.
A line is a relationship between two things - but not just any relationship. When you have a linear relationship, one that can be graphed as a line, there is one big condition:
No matter how much you have of a thing (often called x), if you add one more you always get a consistent amount more of the other thing (often called y).
A . One solution
B . infinite solution
C . infinite solution
D . no solution
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Thus the correct answer is option A .
Answer:
x=−2 and y=−1
Step-by-step explanation:
<u>Problem:</u>
Solve y=x2;y=−x−3
<u>Steps:</u>
I will solve your system by substitution.
y=1/2x;y=−x−3
Step: Solve y= 1/2x for y:
Step: Substitute 1/2 x for y in y=−x−3:
y=−x−3
1/2x= =−x−3
1/2x+x=−x−3+x(Add x to both sides)
3/2x = -3
3/2x/3/2 = -3/3/2 (Divide both sides by 3/2)
x=−2
Step: Substitute −2 for x in y=1/2x:
y=1/2x
y=1/2(-2)
y=−1(Simplify both sides of the equation)
<u>Answer:</u>
x=−2 and y=−1
Its 20. |-2|+4-(-2)×(7). This simplifies to 2+4+(2×7)
