QuestionFind the slope-intercept form of the line through with slope 5.
Studdy Solution
STEP 1
Assumptions1. The line passes through the point . The slope of the line is53. The equation of the line is to be written in slope-intercept form, which is , where is the slope and is the y-intercept.
STEP 2
First, we need to substitute the given slope and the coordinates of the point into the slope-intercept form of the equation.
Substituting the given values, we get
STEP 3
Next, we need to solve the equation for , which represents the y-intercept.
STEP 4
To isolate , we add to both sides of the equation.
STEP 5
implify the equation to find the value of .
STEP 6
Now that we have the y-intercept, we can write the equation of the line in slope-intercept form.
STEP 7
Substitute the given slope and the calculated y-intercept into the equation.
This is the equation of the line in slope-intercept form.
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