Question

(a) What is the slope of the line? m=_______ Show how you found the slope.

Answer 1

Answer:

Part a) $m=\frac{7}{5}$

Part b) The y-intercept is the point (0,7)

Part c) $y=\frac{7}{5}x+7$

Step-by-step explanation:

Part a) What is the slope of the line?

looking at the graph take the intercepts

(0,7) and (-5,0)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-7}{-5-0}$

$m=\frac{-7}{-5}$

$m=\frac{7}{5}$

Part b) What is the y-intercept?

we know that

The y-intercept is the value of y when the value of x is equal to zero

looking at the graph

For x=0, y=7

therefore

The y-intercept is the point (0,7)

Part c) Write an equation for the line in slope-intercept form

The equation of a line in slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

we have

$m=\frac{7}{5}$

$b=7$

substitute

$y=\frac{7}{5}x+7$