What's the slope-intercept form of the equation of the line graphed in this figure? Question 5 options: A) y = 3∕5x + 1 B) y = –3∕5x + 1 C) y = 5∕3x + 1 D) y = –5∕ x – 1

Whats the slopeintercept form of the equation of the line graphed in this figure Question 5 options A y 35x 1 B y 35x 1 C y 53x 1 D y 5 x 1 class=

Respuesta :

Answer:

A

Step-by-step explanation:

The slope:

[tex] \frac{4 - - 2}{5 - - 5} \\ \frac{6}{10} \\ \frac{3}{5} [/tex]

The line intercepts y at 1

thus the equation is A or y= 3/5x +1

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (5, 4) ← 2 points on the line

m = [tex]\frac{4+2}{5+5}[/tex] = [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]

The line crosses the y- axis at (0, 1) ⇒ c = 1

y = [tex]\frac{3}{5}[/tex] x + 1 → A