Final answer:
The value of x when y=-36 for a line with a slope of -7 and that passes through the point (-3,20) is approximately 5.29.
Step-by-step explanation:
The subject of this question is related to the slope-intercept form of a linear equation, which is expressed as y=mx+b. In this case, the slope (m) is given as -7 and the line passes through the point (-3,20). We can find the y-intercept (b) by substituting the given points into the slope-intercept form, which gives us the equation 20=(-7)(-3)+b, solving for b gives us b= 1.
Now, we substitute these values into the slope-intercept equation, obtaining the following equation y=-7x+1. In order to find the value of x when y=-36, we substitute -36 for y in the equation and solve for x. Doing this gives us -36=-7x+1, solving for x provides the x value as x=5.29.
Learn more about Slope-Intercept Formula