Answer:
m = -3
b = 4
Equation: y = -3x + 4
Explanation:
The equation for a straight line is y = mx + b.
The line crosses the y-axis at (0,4). So, b (the y-intercept) will be 4.
Now, to find m (the slope). The next point on the line is (1,1). To get there, you go down 3 units (-3) and to the right 1 unit.
Slope is known as rise (change in x-axis) over run (change in y-axis). So, -3 ÷ 1 = -3. m will be -3.
For the equation of the line, just plug the numbers into the equation for a straight line.
y = mx + b
y = -3x + 4
Hope that helps.