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Question 13) Identify the equation that describes the line in slope-intercept form. Slope =-3, point (1,4) on the line

User Cseitz
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INFORMATION:

We have the next given information:

- Slope = -3

- point on the line: (1,4)

And we must find the ​equation that describes the line in slope-intercept form

STEP BY STEP EXPLANATION:

If we have the slope and a point and we need the slope-intercept form, we can write first the equation in point-slope form:


y-y_1=m(x-x_1)

Where, (x1, y1) is the point on the line and m is the slope

Now, we have that

- Slope = -3

- point on the line: (1,4)

So, replacing the values in the formula


y-4=-3(x-1)

Finally, we must solve it for y to find the slope-intercept form of the line


\begin{gathered} y=-3x+3+4 \\ \text{ Simplifying,} \\ y=-3x+7 \end{gathered}

ANSWER:

the equation that describes the line in slope-intercept form with slope = -3 and passes through the point (1,4) is:

y = -3x + 7

User Luffy Cyliu
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