Question

This answer is right but i’m not sure how they got it

Answer 1

Explanation:

first the ordered pairs are (-1,-8),(3,0),(6,6)

there is the same linear function in these three ordered pairs. that is f(x)=2x-6 or y=2x-6

to be sure that the function(equetion) is true we can substite the ordered pairs in to equetion as the following

(-1,-8) y=2x-6

-8=2*-1-6

-8=-2-6

-8=-8

(3,0) 0=2*3-6

0=6-6

0=0

(6,6) 6=2*6-6

6=12-6

6=6

x-intercept is when we substitute 0 instead of y or when y=0.

so our equation y=2x-6

0=2x-6

2x-6=0

2x=0+6

2x=6

2x/2=6/2

x=3 the ordered pair is (3,0)

& y-intercept is also when x=0

when x=0 y=2*0-6

y=0-6

y=-6 the ordered pair is (0,-6)

but i forgot it that the rate of change.

Answer 2

x-intercept: We know that for the x-intercept, the y-coordinate aka f(x) will always be 0. That's how we know that the x-intercept is 3, since when x = 3, f(x) = 0

rate of change: Finding the equation of the line in slope-intercept form will allow us to find both the rate of change (synonym for slope) and y-intercept. The general equation of slope-intercept form is y = mx + b, where

• (x, y) are any point on the line,
• m is the slope ,
• and b is the y-intercept

Given at least two points on a line, we can find the slope using the slope formula, which is

m = (y2 - y1) / (x2 - x1), where

• m is the slope,
• (x1, y1) are one point on the line,
• and (x2, y2) are another point on the line

Allowing (-1, -8) to be our (x1, y1) point and (3, 0) to be our (x2, y2) point, we can find the slope of the line:

m = (0 - (-8)) / (3 - (-1))

m = (0 + 8) / (3 + 1)

m = 8 / 4

m = 2

y-intercept: Now that we've found the slope, we can plug in any of the coordinates for x and y and 2 for m into the slope-intercept form. This will allow us to solve for b and find our y-intercept. Let's use (-1, -8) for x and y:

y = mx + b

-8 = 2(-1) + b

-8 = -2 + b

-6 = b

Thus, the y-intercept is -6