Step-by-step explanation:
Given x intercept is 1, So (x,y) is (1,0)
When x intercept is 1 then y value is 0
Another point on the line is (-2,3)
Two points are (1,0) and (-2,3)
Find out slope using the two given points
[tex]slope m=\frac{y_{2}-y_1}{x_2-x_1} =\frac{3-0}{-2-1} =-1\\m=-1[/tex]
Use point slope formula
m=-1 and point(1,0)
[tex]y-y_{1}=m(x-x_{1})\\y-0=-1(x-1)\\y=-1x+1[/tex]
Point slope equation is
[tex]y-0=-1(x-1)[/tex]
Equation of the line in slope intercept form is
[tex]y=-1x+1[/tex]
