Write the equation in slope-intercept form through the point (-5, 3) and is perpendicular to the line y = 2x - 3 and graph
1 answer:
Slope intercept form: y = mx + b
When a line is perpendicular to another line, its slope is the negative reciprocal to that slope.
From this information, we already know that the slope of our new line is -1/2, because -1/2 is the negative reciprocal to 2 (which is the slope of the original line).
y = -1/2x + b
Because the point (-5,3) is given, we can simply plug the x and y coordinates into our incomplete equation.
3 = -1/2(-5) + b
3=2.5 + b
b = 0.5
ANSWER: y = -1/2x + 0.5
THE GRAPH IS LINKED; RED LINE IS y=2x-3 AND BLUE LINE IS y=-1/2x + 0.5
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Answer:
Step-by-step explanation:
Recursive sequences generally look like this:
a1 = something
an= ahhhhhh
The 1st term in this sequence is 11.
So we have
a1=11
And now we see that each term is adding by 22.
We have,
a1=11
If the triangles are congruent, then .
See the explanation
<h2>Explanation:</h2>Since you don't provide any graph I can't give you an exact answer. However, I'll give you the fourth graph for this problem. So we have:
<h3>First:</h3>We have the inequality:
The symbol < tells us that the line is dotted and the shaded region is below the line. Also, the slope is 3 and the y-intercept is 2. So as x increases one unit y increases 3, so if (0, 2) which is both a point and the y-intercept of the line, then (1, 5) will also be a point on the line. By using graphing tool we get the first graph below.
<h3>Second:</h3>We have the inequality:
This case is similar to the previous one. The only difference is that the shaded region is above the line. The graph is the second one below.
<h3>Third:</h3>We have the inequality:
Again the line is shaded under the graph. Also, the slope is 1/3 and the y-intercept is 2. So as x increases one unit y increases 1/3, or in other words, as x increase 3 units y increases one unit, so if (0, 2) which is both a point and the y-intercept of the line, then (3, 3) will also be a point on the line. By using graphing tool we get the third graph below.
<h3>Fourth:</h3>We have the inequality:
This case is similar to the previous one. The only difference is that the shaded region is above the line. The graph is the fourth one below.
<h2>Learn more:</h2>Inequalities: brainly.com/question/12890742
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