Question

PLEASE HELP!!!! :(((

Answer 1

y = -3x + 7

Explanation:

equation of a line: y = mx + b

Where m = slope and b = y intercept

First let's identify the slope

We can find the slope using the slope formula: m = (y2 - y1) / (x2 - x1)

Where the x and y values are derived from the points on the line

The points chosen may vary but I have chosen (0,7) and (1,4)

x1 = 0

x2 = 1

y1 = 7

y2 = 4

Slope = (4-7)/(1-0)

Subtract top numbers

4-7=-3

Subtract bottom numbers

1-0=1

Slope= (-3)/(1)

Simplify

Slope (m) = -3

Now let's identify the y intercept

The y intercept is the point where the line passes the y axis

The line passes the y axis at (0,7) so the y intercept (b) = 7

Now we plug in all the values into the equation

We get y = -3x + 7

Answer 2

y = -3x+7

Explanation:

We know the y intercept is 7

We can find another point on the line (1,4)

We can find the slope using (1,4) and (0,7)

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

= ( 7-4)/(0-1)

= 3/ -1

= -3

We can write the equation using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -3x+7