Question

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

Answer 1

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