Write the equation in slope intercept form: passing through the x-axis at x=3 and passing through the y-axis at y= -5

Step-by-step explanation:

Slope-intercept:

m is the slope and b is the y-intercept. We know that the line passes through the y-axis at -5, so this is the y-intercept (where x is equal to 0). Insert this into the equation:

With the given information, we can form two points:

The first one is the x-intercept and the second the y-intercept. Use these to find the slope:

Rise over run is the change in the y-axis over the change in the x-axis, otherwise known as the slope. Insert the appropriate values:

Solve:

Note that both the numerator and denominator are negatives. Two negatives make a positive, so:

The slope is

Insert into the equation:

:Done

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step-by-step explanation: