Question

Find the slope and the equation for the line passing through the point (−5,−0.75)(−5,−0.75) with x-intercept at x=−6

Answer 1

Slope: -0.75, equation of the line: $y+0.75 = -0.75(x+5)$

Step-by-step explanation:

The equation of a line in the slope-intercept form is

$y-y_0 = m(x-x_0)$

where

m is the slope

$(x_0,y_0)$ are the coordinates of a point on the line

In this problem, we have:

$(x_0,y_0)=(-5,-0.75)$

We also know that the line has x-intercept at x = -6: so, it passes through the point

$(x_1,y_1)=(-6,0)$

Using this information, we can find the slope of the line:

$m=\frac{y_1-y_0}{x_1-x_0}=\frac{-0.75-0}{-5-(-6)}=-0.75$

Therefore, the equation of the line is

$y-(-0.75) = -0.75(x-(-5))\\y+0.75 = -0.75(x+5)$

Learn more about slope of a line:

brainly.com/question/12941985

brainly.com/question/4152194

#LearnwithBrainly