To find the slope-intercept form of the equation of the line, we need the slope and a point on the line. We are given that the slope is -7/12 and the point (-6, 12).
The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept.
To find the equation, we can plug in the given values into the slope-intercept form:
y = (-7/12)x + b
To determine the value of b, we can use the given point (-6,12). Substitute x = -6 and y = 12 into the equation:
12 = (-7/12)(-6) + b
Simplifying:
12 = 7/2 + b
Multiply both sides by 2 to get rid of the fraction:
24 = 7 + 2b
Subtract 7 from both sides:
17 = 2b
Divide both sides by 2:
b = 17/2
Now, we have the value of b. Substituting it back into the equation, we get the final equation:
y = (-7/12)x + 17/2
Write the slope-intercept form of the equation of the line satisfying the given conditions.
Through (−6,12); slope −7/12
1 answer
1 answer