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Sphinxa [80]
3 years ago
13

Write an equation of the line below.

Mathematics
2 answers:
wlad13 [49]3 years ago
5 0

Answer:

y=4/5x

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

In this problem, the slope is 4/5 because m=rise/run.

Lubov Fominskaja [6]3 years ago
4 0

Answer (<u>assuming it can be in slope-intercept form)</u>:

y = \frac{4}{5} x

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula m = \frac{y_2-y_1 }{x_2-x_1} and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:

m = \frac{4-0}{5-0} \\m = \frac{4}{5}

So, the slope is \frac{4}{5}.

2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.

3) Now, write the equation of the line in slope-intercept form using the y = mx + b format. The number in place of m represents the slope, so substitute \frac{4}{5} in its place. The number in place of b represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:

y =\frac{4}{5} x+0\\y = \frac{4}{5} x

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