What is the slope intercept form equation of the line that passes through 3 4 and 5/16 )? Y 6x − 14 y − 6x 14 y − 6x − 14 y 6x 14?.

The correct option is (a) i.e. the slope intercept form of the given line is y = 6x-14.

What is the slope and slope-intercept form?

The slope of the line through two points (x₁ ,y₁) and (x₁ ,y₂) can be found by using the formula below.

m = (y₂ – y₁) / (x₂ – x₁).

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 form equation for a straight line with a slope, ‘m’, and ‘b’ as the y-intercept can be given as y = mx + b.

Here we have a line that passes through two points (x₁ ,y₁) = (3 ,4) and (x₁ ,y₂) =(5 ,16).

The slope of the line m = (y₂ – y₁) / (x₂ – x₁) = (16 -4) /(5 -3) = 12/2 = 6.

⇒ slope m = 6.

And we know the slope intercept form is

y = mx + b

⇒ 4 = 6*3 + b {with points (3 ,4)}

⇒ b =4 – 18 = -14 ⇒ b = -14.

So the slope intercept form is y = 6x-14.

The slope-intercept form of the equation with m =6 and y-intercept as -14 was found to be

(a)i.e. theslope intercept formof the given line isy = 6x-14.## What is the slope and slope-intercept form?

slopeof the line through two points (x₁ ,y₁) and (x₁ ,y₂) can be found by using the formula below.m = (y₂ – y₁) / (x₂ – x₁).slope interceptformula 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).y = mx + b.m = 6.b = -14.y = 6x-14.slope-intercept formof the equation withm =6and y-intercept as-14was found to bey = 6x -14.slope-intercept form,visitNOTE:The question given here is not complete. The complete question is given below.Question:What is the slope intercept form equation of the line that passes through (3 ,4)and (5,16)?