Question

Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. the x-intercept is 1, and (x, y) = (−2, 3) is a point on the line

Answer 1

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

$slope m=\frac{y_{2}-y_1}{x_2-x_1} =\frac{3-0}{-2-1} =-1\\m=-1$

Use point slope formula

m=-1 and point(1,0)

$y-y_{1}=m(x-x_{1})\\y-0=-1(x-1)\\y=-1x+1$

Point slope equation is

$y-0=-1(x-1)$

Equation of the line in slope intercept form is

$y=-1x+1$