Write the point-slope form, then use that to write the slope-intercept form of the equation

For a line with slope m that passes through a point , the point-slope form equation is the following.



We have a given slope of 4 and a given point of (7,5). Now, plug in the values.



That is the point-slope form of the line. Now, let's change this into slope-intercept form. Slope-intercept form looks like the following:



Where m is the slope and b is the y-intercept. Let's do some algebra on our point-slop form equation to change it into slope-intercept form.



This was our equation. Let's use the distributive property on 4(x-7).



Now, add 5 to both sides of the equation



This the slope-intercept form of the line. Thus, we have solved for both the point-slope form and the slope-intercept form. Hope this helps! :)