Question

Find the equation of the line through the point (2,7.5) with an x-intercept of -1

Answer 1

here x intercept is -1, so coordinate would be (-1,0)

we use two points (2,7.5) and (-1,0) to find the slope

$slope=\frac{y2-y1}{x2-x1}$

$slope=\frac{0-7.5}{-1-2}$

slope=-7.5/-3 = 2.5

now let us use slope m =2.5 and point (-1,0) to get the y intercept

y=mx+b

0=2.5(-1)+b

b=2.5

plugging value of m and b in slope intercept form to get the equation

y=2.5x+2.5