Find the slope intercept form of the line with the following properties.
Slope=4 containing the points (-2,-5)
I know that slope intercept form is y=mx+b so the m is the slope which is 4 but now I get confused since they give me x any y values (-2,-5). Is it just y which is -5? So would it be
y=4x-5?
Yes, you're correct in assuming that the slope-intercept form of a line is represented by y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the line that passes through the point (-2, -5) with a slope of 4, you can substitute the given values into the slope-intercept form equation.
Start with the equation: y = mx + b
Given that the slope (m) is 4, substitute 4 for m: y = 4x + b
To find the value of b (the y-intercept), you can substitute the x and y values from the given point (-2, -5) into the equation and solve for b.
Substitute -2 for x and -5 for y: -5 = 4(-2) + b
Multiply 4 by -2: -5 = -8 + b
To isolate b, add 8 to both sides of the equation: -5 + 8 = b
Simplify: 3 = b
Finally, substitute the value of b (which is 3) back into the equation: y = 4x + 3
Therefore, the equation of the line with a slope of 4 and passing through the point (-2, -5) is y = 4x + 3, which is in slope-intercept form.