A line passes through the point 4, 5 and has a slope of 3.Write an equation in slope-intercept form for this line.

To write an equation in slope-intercept form for a line, we need to use the point-slope form of the equation and then rearrange it to the slope-intercept form.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the line passes through the point (4, 5) and has a slope of 3, we can substitute these values into the point-slope form:

y - 5 = 3(x - 4)

Next, we can simplify the equation:

y - 5 = 3x - 12

To convert the equation to slope-intercept form, we need to isolate y on one side of the equation. We can do this by adding 5 to both sides:

y = 3x - 12 + 5

Simplifying further:

y = 3x - 7

Therefore, the equation in slope-intercept form for the line passing through the point (4, 5) with a slope of 3 is y = 3x - 7.