Question

Use slope-intercept form, y = mx + b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes through the point (3, –5).b = what is the new equation written in slope-intercept form?

Answer 1

y=6x+b
-5=6(3)+b
-5=18+b
b=13

The answer is y=6x+13.

Answer 2

The new equation with the given parameters in slope-intercept form is y=6x-27.

Given that, slope(m)=6 and the coordinate point is (3, -5).

We need to write the new equation written in slope-intercept form.

What is the slope-intercept form?

The slope-intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y-intercept (0, b).

Now, substitute m=6 and the point (3, -5) in y = mx + b.

We get, -5=6×3+b

⇒b=-23

So, the new equation with the given slope =y=6x-27

Therefore, the new equation with the given parameters in slope-intercept form is y=6x-27.

To learn more about the slope-intercept form visit:

https://brainly.com/question/9682526.

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