Question

(4,0) and slope m = -7

Answer 1

Step-by-step explanation

• First Method

We have the given slope which is m=-7 and the given coordinate point.

`y = mx + b`

Substitute m = -7 in the equation.

`y = - 7x + b`

After we substitute the slope, we substitute the value of coordinate point.

`0 = - 7(4) + b \\ 0 = - 28 + b \\ 28 = b`

Substitute the value of b in the equation and rewrite the new equation.

`y = - 7x + 28`

• Second Method

We can use the Point-Slope form to find the slope-intercept form with given slope and coordinate point.

`y - y_1 = m(x - x_1)`

where y1 and x1 both are the coordinate point.

Substitute m = -7, y1 = 0 and x1 = 4 in the point-slope form.

`y - 0 = - 7(x - 4)`

Simplify the equation and convert in the slope-intercept form

`y = - 7(x - 4) \\ y = - 7x + 28`

Answer

`\large \boxed {y = - 7x + 28}`