Question

Find the slope of the line between (-7,-2) and (9,4)
A)-3/8
B)3/8
C)6/17
D)2/5
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Find the slope of the line between (5,-6) and (-1,8)
A)-7/3
B)-3/7
C)-14/5
D)-13/6
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Find the slope of the line
Y=1/8x-1
A)-8/1
B)1/8
C)1
D)-1
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Find the y-intercept of the following equation
Y=7/2x-10/7
A)7/2
B)-7/2
C)10/7
D)-10/7
Plz help my I don’t get it
Worth 18 points thx
I’m really struggling plz help

Answer 1

B, A, B, D

to calculate the slope m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 7, - 2) and (x₂, y₂ ) = (9, 4)

m = $\frac{4+2}{9+7}$ = $\frac{6}{16}$ = $\frac{3}{8}$

repeat with (x₁, y₁ ) = (5, - 6) and (x₂, y₂) = (- 1, 8)

m = $\frac{8+6}{-1-5}$ = $\frac{14}{-6}$ = - $\frac{7}{3}$

the equation of a line in slope-intercept form is

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

y = $\frac{1}{8}$ x - 1 is in this form

with slope m = $\frac{1}{8}$

To find the y- intercept , let x = 0, in the equation

x = 0 : y = 0 - $\frac{10}{7}$ = - $\frac{10}{7}$ ← y- intercept