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

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