If the slope of a line and a point on the line are known, the equation of the line can be found using the slope-intercept form

Question

3 years ago

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If the slope of a line and a point on the line are known, the equation of the line can be found using the slope-intercept form

, y = mx + b. To do so, substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b. Using the above technique, find the equation of the line containing the points (-4,7) and (2,-2).
What is the equation of the line?

(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)

Mathematics

1 answer:

meriva · Answer 1 · 2022-12-09T12:47:53+03:00

Answer:

y=-3/2x+1

Step-by-step explanation:

NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.

Step 1: plot your 2 known points.

Step 2: draw a line that goes between both points

Step 3: find the distance of the points in RISE/RUN format.

-9/6. The slope is negative because the line goes down to the right.

Step 4: find your y-intercept.

1.

Step 5: simplify your equation

-9/6 = -3/2

If the slope of a line and a point on the line are​ known, the equation of the line can be found using the​ slope-intercept form

If the slope of a line and a point on the line are known, the equation of the line can be found using the slope-intercept form