Which ordered pair would form a proportional relationship with the point graphed below? 40 (-20,40) 30 20 10 -40-30-20-190 10 20
30 40 x -20 -30 -40 0 (-40, 20) 0 (-10.-20) O (15, -30) O (5, -15)
1 answer:
You might be interested in
Answer:
y = 4x + 14
Step-by-step explanation:
slope-intercept form: y = mx + b
Slope formula:
To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.
To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:
Simplify:
18 - 14 = 4
1 - 0 = 1
The slope is 4.
To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:
y = mx + b
18 = 4(1) + b
18 = 4 + b
14 = b
The y-intercept is 14.
Now that we know the slope and the y-intercept, we can write the equation:
y = 4x + 14
First you have to have the absolute value isolated so the 2 has to be divided. Then set up the two cases and solve.
With and
, we have
Then has critical points where
where is any integer.
is increasing wherever
, which happens for