Question

HELP PLEASE!! ASAP!!

Answer 1

f(x) = -3x+1

Explanation:

every straight graph has an equation f(x) = m * x + b

when the graph goes up when you look at it from left to right, m is a positive number. when it goes down, then m is negative.
the value of m you can read when you go 1 to the right and then count how many you need to go up/down to meet the graph. in this picture, you need to go down 3.
So m = -3
b is how many you habe to go up (+) or down (-) from the center point 0
so in this case you see on the picture that the graph is hitting the y line on 1

so your equation is -3x + 1

Answer 2

The equation of the line with points (0, 1) and (1, -2) is y = -3x + 1. The slope, calculated as the change in y divided by the change in x, is -3, indicating a downward slope.

To determine the equation of the line given two points,
`\((x_1, y_1)\) and \((x_2, y_2)\)`, you can use the formula for the slope m:

`\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \]`

Given the points (0, 1) and (1, -2), substitute these coordinates into the formula:

`\[ m = \frac{{(-2) - 1}}{{1 - 0}} \]`

Simplify:

`\[ m = \frac{{-3}}{{1}} \]`

Therefore, the slope m of the line is -3. The equation of the line in point-slope form
`(\(y - y_1 = m(x - x_1)\))` can be written using either of the given points. Let's use (0, 1):

y - 1 = -3(x - 0)

Simplify:

y - 1 = -3x

Finally, to express it in slope-intercept form y = mx + b, add 1 to both sides:

y = -3x + 1

So, the equation of the line is y = -3x + 1 with a slope of -3.