The slope m = -3, and the point is (0,-9).
<u>Step-by-step explanation</u>:
The equation of a line in slope-intercept form is given as
y = mx + b
where m represents the slope and
b represents the y-intercept.
⇒ y + 3 = − 3( x + 2)
subtract 3 from both sides.
⇒ y = - 3 x - 9
⇒ m = - 3 and the b = - 9
Hence slope is -3 and y-intercept is -9
y-intercept = - 9 which is the coordinate point (0 ,-9)
To obtain any coordinate point on the line, select values for x and substitute them into the equation for corresponding value of y.
x = -2 ⇒ y = -3 -2 - 9
y = 6 - 9 = -3
Hence the another point on the line is (-2,-3)
Answer:
Step-by-step explanation:
Hello,
Touchdown is 7 points, field goals is 3 points
Let's note a the number of touchdowns and b the number of field goals, we can write
(1) a + b = 80
(2) 7a + 3b = 516
(2) - 3*(1) gives
7a + 3b - 3(a + b) = 516 - 3*80
<=> 7a + 3b -3a - 3b = 516 - 240 = 276
<=> 4a = 276
<=>
And then from (1) b = 80 - 69 = 11
Hope this helps