Write an equation in slope-intercept form of the line through point (6, -1) with slope m = 4.

Solution:

Given, the point is (6, -1)

The slope is m = 4.

We have to write an equation of the line in slope-intercept form.

The standard form of equation of the line in slope-intercept form is given by

y = mx + c

Where, m is the slope.

Now, substituting the values of x, y and m

-1 = 4(6) + c

-1 = 24 + c

c = -1 - 24

c = -25

Put the value of c in the standard equation,

y = 4x - 25

Therefore, the equation of the line is y = 4x - 25.

---

Write an equation in slope-intercept form of the line through point (6, -1) with slope m = 4.

Summary:

The equation of the line passing through point (6, -1) with slope m = 4, in slope-intercept form is y = 4x - 25.