What is the equation of the line shown in the graph?

y=4x-3

Step-by-step explanation:

We're given that the equation is linear (a line), so it must be in the form y=mx+b. We're also given that it contains the points (0,-3) and (1,1).

Plugging the values of the x and y coordinates in that first point, we get the equation -3=m*0+b, simplifying to -3=b. Therefore, the b-value is -3.

Next, we can plug in the values from the second point to get the equation 1=m*1-3, which simplifies to 1=m-3. Adding 3 to both sides, we get m=4. Therefore, the equation of the line is y=4x-3.

Note that -3 is the value where the line intercepts the y-axis, which means -3 is known as the y-intercept. The value of b is always the y-intercept.

step-by-step explanation: