Answer:
y = 3x -2
Step-by-step explanation:
The slope is three because for every one x-axis value, the y-axis values increase by 3 units.
You might learn this as "rise over run" which is the amount of y values per x.
Slope intercept form is y = mx + b where m is the slope and b is the y-intercept (the y-value when x = 0).
The slope is said to be 3 as stated before, so it is now
y = 3x + b, and b would be -2, because the line intersects the y-axis at -2.
y = 3x -2
Answer:
[tex]y=3x-2[/tex]
Step-by-step explanation:
Step 1: Finding the slope
To find the slope, we can use the formula:
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
Find two points the intercepts another line
[tex](0,-2)\\(1,1)[/tex]
Plug these points into the formula
[tex]\frac{1-(-2)}{1-0}= \frac{3}{1} \\\\m=3[/tex]
The slope is 3.
Step 2: Finding the y-intercept
Usually, to find the y-intercept, you need to already know/find the slope (which we've done) then plug any one of the x and y values into the slope-intercept formula, and solve.
However, we already see a line crossing the y-axis at -2, and that is the y-intercept.
The y-intercept is -2.