Answer: y = 3/5x + 7
Explanation:
What we know:
- The final equation will be in the form y=mx+b
- The slope must go through the point (-5,4)
How to solve:
By substituting the point the slope passes through into slope-intercept form, we can calculate the y-intercept (b.) From here, we can use our slope and y-intercept values to set up the final equation.
Process:
Finding the y-intercept
Set up equation y = mx + b
Substitute 4 = 3/5(-5) + b
Simplify 4 = -3 + b
Simplify +3 +3
Solve 7 = b
Creating final equation
Set up equation y = mx + b
Substitute y = (3/5)x + 7
Answer: y = 3/5x + 7
Check:
If you graph this equation (a good tool to use is desmos graphing calculator,) then this equation creates a line that has a slope of 3/5 and passes through the point (-5,4)
