Question

Can somebody plz help me answer this question plz!

Answer 1

Answer:

$y=-x+9$

Step-by-step explanation:

This is asking you to write the equation in slope-intercept form:

$y=mx+b$

where:

• m is the slope
• b is the y-intercept
• x and y are any corresponding coordinate points (x,y)

You need to find the slope of the two given points using:

$(x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope$

Insert the values:

$(4_{x_{1}},5_{y_{1}})\\\\(-6_{x_{2}},15_{y_{2}})\\\\\frac{15-5}{-6-4} =\frac{10}{-10} =-\frac{10}{10} =-1$

The slope of the given line is -1. Insert this value into the equation:

$y=-1x+b\\\\y=-x+b$

Now insert one of the given coordinate points as x and y to solve for b:

$(4_{x},5_{y})\\\\5=-4+b\\\\5+4=-4+4+b\\\\9=b$

The y-intercept is 9. Insert the value:

$y=-x+9$

:Done