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Write the equation for the line that goes through the point (5,12) with the slope m=3/5 in slope-intercept form.

User Pretzelb
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Answer:

The slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line crosses the y-axis).

Given a point (x1, y1) and a slope m, we can use the point-slope form of the equation of a line which is:

y - y1 = m(x - x1)

In this case, the point is (5, 12) and the slope is 3/5.

So the equation of the line in point-slope form is:

y - 12 = (3/5)(x - 5)

To put this equation in slope-intercept form, we need to solve for y.

To do this, we can add 12 to both sides:

y = (3/5)x + (12 - (3/5)*5)

y = (3/5)x + 12 - 3

y = (3/5)x + 9

So the equation of the line that goes through the point (5, 12) with the slope m = 3/5 in slope-intercept form is y = (3/5)x + 9

User Blobdon
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