What is the equation of the line passing through the points (2, -1) and (5.-10) in slope-intercept form
1 answer:
Answer:
y = -3x + 5
Step-by-step explanation:
Usually by drawing a simple graph, you can tell what the equation is, even if the graph isn't 100% accurate. From the points alone, you can tell that the slope is negative, since as you increase in x you decrease in y (which is a negative relationship). You can tell that it's +5 rather than -5 because the graph sketched shows that the line goes above 0 (indicating a positive number), rather than below (a negative number).
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HOW TO DETERMINE SLOPE AND Y-INTERCEPT: Use the instructions below to answer this question.
EQUATION: y=x-3
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<h2>INSTRUCTIONS:</h2>FINDING THE Y-INTERCEPT:
Do this simply by finding the number your graph starts at on the Y-Axis (vertical line)! In this case, it's at -3!
FINDING SLOPE:
Remember that slope is rise over run ()
RISE = How far the line goes <em>up </em>and <em>down</em>.
RUN = How far the line goes <em>left </em>or <em>right</em>.
HOW DO I FIND IT? All you have to do is count both rise and run from one point on the line to another! WARNING: The point must hit at a vertex, it cannot be counted if it is in the center of the box, or anywhere that does not touch the edge. I also suggest starting from the <u>Y-Intercept</u> and counting.
GOING LEFT OR DOWN: This is a positive number
GOING RIGHT OR UP: This is a negative number.
(You will see how this applies, below, yayyyy)
CALCULATING OUR NUMERATOR, AKA RISE:
Starting from the y, to get to the next point on the line, you can see we have to go down three. This means our numerator is -3!
CALCULATING OUR DENOMENATOR, AKA RUN:
Starting from where we just stopped, we must continue getting to the next point, and to do that, you can see we have to go to the right four! This means our denomenator is 4!