Answer:
a) -2
b) (0,5)
c)y= -2x-5
4a) 8
b) 3 or -3
Explanation:
a)the slope of the line is calculated by the equation: y₂-y₁ ÷ x₂-x₁
the y and x are the x and y coordinates
in this question, (-2, -1) and (-4, 3) are the coordinates that can be obtained
hence replace the numbers in the equation
y₂-y₁ ÷ x₂-x₁
3-(-1) ÷ (-4)- (-2)= 4 ÷ -2
= -2 ←
b) y- intercept refers to the point which crosses the y-axis
here it is the coordinates (0, 5) ←
c) the equation of a line is in the form y= mx+ c
where y is the y coordinate, m is the slope, x is the x coordinate and c is to be calculated using subject of formula
let's take coordinate (-4, 3) and replace it in the equation
y= mx+ c
3= (-2)(-4) + c
3=8 + c
c= 3-8= -5
equation: y= -2x -5←
4a) replace -3 in x
-2(-3) + 2= 8←
b)replace 3 in x
f(3)= -3(3) + 12=3 ←
or
f(3) -3(-3) -12= -3 ←