QuestionFind the slope-intercept form of the line through (1,3) and (0,-3).
Studdy Solution
STEP 1
Assumptions1. We have two points (1,3) and (0,-3) . We are looking for the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept
STEP 2
First, we need to find the slope of the line that passes through the two points. The formula to calculate the slope (m) is
STEP 3
Now, plug in the given values for the points into the slope formula.
STEP 4
Calculate the slope.
STEP 5
Now that we have the slope, we can find the y-intercept (b). Since the line passes through the point (0,-3), the y-intercept is -3.
STEP 6
Now that we have both the slope and the y-intercept, we can write the equation of the line in slope-intercept form.
STEP 7
Plug in the values for the slope and the y-intercept to write the equation of the line.
The slope-intercept form of the equation of the line that passes through the points (1,3) and (0,-3) is y =6x -3.
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