Answer:
y = -3x + 7
Step-by-step 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
